Champs continus d’espaces hilbertiens et de C*-algèbres
Bulletin de la Société Mathématique de France, Tome 91 (1963), pp. 227-284.
@article{BSMF_1963__91__227_0,
     author = {Dixmier, Jacques and Douady, Adrien},
     title = {Champs continus d{\textquoteright}espaces hilbertiens et de $C^\ast $-alg\`ebres},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {227--284},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {91},
     year = {1963},
     doi = {10.24033/bsmf.1596},
     mrnumber = {29 #485},
     zbl = {0127.33102},
     language = {fr},
     url = {http://archive.numdam.org/articles/10.24033/bsmf.1596/}
}
TY  - JOUR
AU  - Dixmier, Jacques
AU  - Douady, Adrien
TI  - Champs continus d’espaces hilbertiens et de $C^\ast $-algèbres
JO  - Bulletin de la Société Mathématique de France
PY  - 1963
SP  - 227
EP  - 284
VL  - 91
PB  - Société mathématique de France
UR  - http://archive.numdam.org/articles/10.24033/bsmf.1596/
DO  - 10.24033/bsmf.1596
LA  - fr
ID  - BSMF_1963__91__227_0
ER  - 
%0 Journal Article
%A Dixmier, Jacques
%A Douady, Adrien
%T Champs continus d’espaces hilbertiens et de $C^\ast $-algèbres
%J Bulletin de la Société Mathématique de France
%D 1963
%P 227-284
%V 91
%I Société mathématique de France
%U http://archive.numdam.org/articles/10.24033/bsmf.1596/
%R 10.24033/bsmf.1596
%G fr
%F BSMF_1963__91__227_0
Dixmier, Jacques; Douady, Adrien. Champs continus d’espaces hilbertiens et de $C^\ast $-algèbres. Bulletin de la Société Mathématique de France, Tome 91 (1963), pp. 227-284. doi : 10.24033/bsmf.1596. http://archive.numdam.org/articles/10.24033/bsmf.1596/

[1] Bargmann (V.). - On unitary ray representations of continuous groups, Annals of Math., Series 2, t. 59, 1954, p. 1-46. | MR | Zbl

[2] Bourbaki (Nicolas). - Topologie générale, chap. 9 : Utilisation des nombres réels en topologie générale, 2e édition. Paris, Hermann, 1958 (Act. scient. et ind., 1045 ; Éléments de Mathématique, 8). | Zbl

[3] Dugundji (J.). - An extension of Tietze's theorem, Pacific J. of Math., t. 1, 1951, p. 353-367. | MR | Zbl

[4] Dunford (N.) and Schwartz (J. T.). - Linear operators, Part 1 : General theory. New York, Interscience Publishers, 1958 (Pure and applied Mathematics, Interscience, 7). | MR | Zbl

[5] Fell (J. M. G.). - The structure of algebras of operator fields, Acta Math., t. 106, 1961, p. 233-280. | MR | Zbl

[6] Godement (Roger). - Sur la théorie des représentations unitaires, Annals of Math., Series 2, t. 53, 1951, p. 68-124. | MR | Zbl

[7] Godement (Roger). - Topologie algébrique et théorie des faisceaux. Paris, Hermann, 1958 (Act. scient. et ind., 1252 ; Publ. Inst. math. Univ. Strasbourg, 13). | MR | Zbl

[8] Grothendieck (Alexander). - A general theory of fibre spaces with structure sheaf. Lawrence, University of Kansas, 1955.

[9] Haefliger (André). - Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes, Comment. Math. Helvet., t. 32, 1958, p. 248-329 (Thèse Sc. math., Paris, 1958). | Zbl

[10] Hirzebruch (Friedrich). - Neue topologische Methoden in der algebraischen Geometrie, 2te Auflage. Berlin, Springer-Verlag, 1962 (Ergebnisse der Mathematik ..., Neue Folge, 9). | Zbl

[11] Kakutani (S.). - Topological properties of the unit sphere of a Hilbert space, Proc. Imp. Acad. Tokyo, t. 19, 1943, p. 269-271. | MR | Zbl

[12] Kaplansky (Irving). - Normed algebras, Duke math. J., t. 16, 1949, p. 399-418. | MR | Zbl

[13] Kaplansky (Irving). - The structure of certain operator algebras, Trans. Amer. math. Soc., t. 70, 1951, p. 219-255. | MR | Zbl

[14] Michael (Ernest). - Continuous selections, I., Annals of Math., Series 2, t. 63, 1956, p. 361-382. | MR | Zbl

[15] Michael (Ernest). - Continuous selections, II., Annals of Math., Series 2, t. 64, 1956, p. 562-580. | MR | Zbl

[16] Nagy (Béla Sz). - Perturbations des transformations linéaires fermées, Acta Sc. Math., t. 14, 1951, p. 125-137. | MR | Zbl

[17] Séminaire H. CARTAN, Tome 2 : Espaces fibrés et homotopie, 2e édition. Paris, Secrétariat mathématique, 1956.

[18] Tomiyama (J). and Takesaki (M.). - Applications of fibre bundles to the certain class of C*-algebras, Tôhoku math. J., t. 13, 1961, p. 498-523. | MR | Zbl

  • Brix, Kevin Aguyar; Carlsen, Toke Meier; Sims, Aidan Ideal structure of C-algebras of commuting local homeomorphisms, Mathematische Annalen (2025) | DOI:10.1007/s00208-024-03076-4
  • van Suijlekom, Walter D. The Noncommutative Geometry of Yang–Mills Fields, Noncommutative Geometry and Particle Physics (2025), p. 219 | DOI:10.1007/978-3-031-59120-4_12
  • Edeko, N.; Haase, M.; Kreidler, H. A decomposition theorem for unitary group representations on Kaplansky–Hilbert modules and the Furstenberg–Zimmer structure theorem, Analysis Mathematica, Volume 50 (2024) no. 2, p. 377 | DOI:10.1007/s10476-024-00020-1
  • Park, Byungdo Differential Cohomology and Gerbes: An Introduction to Higher Differential Geometry, Axioms, Volume 13 (2024) no. 1, p. 60 | DOI:10.3390/axioms13010060
  • Debray, Arun Bordism for the 2-group symmetries of the heterotic and CHL strings, Higher structures in topology, geometry, and physics. AMS special session, virtual, March 26–27, 2022, Providence, RI: American Mathematical Society (AMS), 2024, pp. 227-297 | DOI:10.1090/conm/802/16079 | Zbl:7915450
  • Sogabe, Taro The reciprocal Kirchberg algebras, Journal of Functional Analysis, Volume 286 (2024) no. 11, p. 53 (Id/No 110395) | DOI:10.1016/j.jfa.2024.110395 | Zbl:1541.19004
  • DADARLAT, Marius; PENNIG, Ulrich Bundles of strongly self-absorbing C-algebras with a Clifford grading, Journal of the Mathematical Society of Japan, Volume -1 (2024) no. -1 | DOI:10.2969/jmsj/92259225
  • Ohyama, Shuhei; Ryu, Shinsei Higher structures in matrix product states, Physical Review B, Volume 109 (2024) no. 11 | DOI:10.1103/physrevb.109.115152
  • Ohyama, Shuhei; Terashima, Yuji; Shiozaki, Ken Discrete higher Berry phases and matrix product states, Physical Review B, Volume 110 (2024) no. 3 | DOI:10.1103/physrevb.110.035114
  • Ludewig, Matthias The Clifford algebra bundle on loop space, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, Volume 20 (2024), p. paper | DOI:10.3842/sigma.2024.020 | Zbl:1536.15022
  • Jiang, Baojie; Zhang, Jiawen; Zhang, Jianguo Quasi-locality for étale groupoids, Communications in Mathematical Physics, Volume 403 (2023) no. 1, pp. 329-379 | DOI:10.1007/s00220-023-04782-x | Zbl:1534.46046
  • Dahmen, Rafael On the topology of J-groups, Journal of Lie Theory, Volume 33 (2023) no. 1, pp. 169-194 | Zbl:1530.22001
  • Crisp, Tyrone Commutativity of the Haagerup tensor product and base change for operator modules, Journal of Topology and Analysis, Volume 15 (2023) no. 4, pp. 1117-1127 | DOI:10.1142/s179352532150062x | Zbl:1543.46041
  • Frausino, Rodrigo; Ng, Abraham C.S.; Sims, Aidan Reconstruction of topological graphs and their Hilbert bimodules, Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2023), p. 1 | DOI:10.1017/prm.2023.99
  • Kitson, Simon A semi-equivariant Dixmier-Douady invariant, The New York Journal of Mathematics, Volume 29 (2023), pp. 147-170 | Zbl:1514.55004
  • Krepski, Derek; Vaughan, Jennifer Multiplicative vector fields on bundle gerbes, Differential Geometry and its Applications, Volume 84 (2022), p. 31 (Id/No 101931) | DOI:10.1016/j.difgeo.2022.101931 | Zbl:1505.53035
  • Loizides, Yiannis Geometric K-homology and the Freed-Hopkins-Teleman theorem, Journal of Noncommutative Geometry, Volume 16 (2022) no. 1, pp. 77-118 | DOI:10.4171/jncg/447 | Zbl:1490.19012
  • Stern, Abel B.; van Suijlekom, Walter D. Schatten classes for Hilbert modules over commutative C-algebras, Journal of Functional Analysis, Volume 281 (2021) no. 4, p. 35 (Id/No 109042) | DOI:10.1016/j.jfa.2021.109042 | Zbl:1472.46061
  • Sogabe, Taro A topological invariant for continuous fields of Cuntz algebras, Mathematische Annalen, Volume 380 (2021) no. 1-2, pp. 91-117 | DOI:10.1007/s00208-020-02101-6 | Zbl:1481.46054
  • van den Dungen, Koen; Mesland, Bram Homotopy equivalence in unbounded KK-theory, Annals of K-Theory, Volume 5 (2020) no. 3, p. 501 | DOI:10.2140/akt.2020.5.501
  • Baldare, Alexandre The index of G-transversally elliptic families. I, Journal of Noncommutative Geometry, Volume 14 (2020) no. 3, pp. 1129-1169 | DOI:10.4171/jncg/389 | Zbl:1466.19007
  • Sogabe, Taro The homotopy groups of the automorphism groups of Cuntz-Toeplitz algebras, Journal of the Mathematical Society of Japan, Volume 72 (2020) no. 3, pp. 959-989 | DOI:10.2969/jmsj/82338233 | Zbl:1464.46073
  • Beckus, Siegfried; Bellissard, Jean; Cornean, Horia Hölder continuity of the spectra for aperiodic Hamiltonians, Annales Henri Poincaré, Volume 20 (2019) no. 11, pp. 3603-3631 | DOI:10.1007/s00023-019-00848-6 | Zbl:1425.81038
  • Krýsl, Svatopluk Induced C-complexes in metaplectic geometry, Communications in Mathematical Physics, Volume 365 (2019) no. 1, pp. 61-91 | DOI:10.1007/s00220-018-3275-9 | Zbl:1408.58017
  • Ebert, Johannes; Randal-Williams, Oscar Infinite loop spaces and positive scalar curvature in the presence of a fundamental group, Geometry Topology, Volume 23 (2019) no. 3, p. 1549 | DOI:10.2140/gt.2019.23.1549
  • Ebert, Johannes Index theory in spaces of manifolds, Mathematische Annalen, Volume 374 (2019) no. 1-2, pp. 931-962 | DOI:10.1007/s00208-019-01809-4 | Zbl:1445.58012
  • De Nittis, Giuseppe; Gomi, Kiyonori On the K-theoretic classification of dynamically stable systems, Reviews in Mathematical Physics, Volume 31 (2019) no. 1, p. 74 (Id/No 1950003) | DOI:10.1142/s0129055x1950003x | Zbl:1415.16009
  • Type IC⁎-Algebras, C*-Algebras and their Automorphism Groups (2018), p. 243 | DOI:10.1016/b978-0-12-814122-9.00006-4
  • References, C*-Algebras and their Automorphism Groups (2018), p. 499 | DOI:10.1016/b978-0-12-814122-9.00018-0
  • Heunen, Chris; Reyes, Manuel L. Frobenius structures over Hilbert C-modules, Communications in Mathematical Physics, Volume 361 (2018) no. 2, pp. 787-824 | DOI:10.1007/s00220-018-3166-0 | Zbl:1406.46039
  • Beckus, Siegfried; Bellissard, Jean; De Nittis, Giuseppe Spectral continuity for aperiodic quantum systems I. General theory, Journal of Functional Analysis, Volume 275 (2018) no. 11, pp. 2917-2977 | DOI:10.1016/j.jfa.2018.09.004 | Zbl:1406.81023
  • Fok, Chi-Kwong Equivariant twisted real K-theory of compact Lie groups, Journal of Geometry and Physics, Volume 124 (2018), pp. 325-349 | DOI:10.1016/j.geomphys.2017.11.013 | Zbl:1415.19001
  • Hannabuss, Keith C. T-duality and the bulk-boundary correspondence, Journal of Geometry and Physics, Volume 124 (2018), pp. 421-435 | DOI:10.1016/j.geomphys.2017.11.016 | Zbl:1388.81540
  • Krepski, Derek; Watts, Jordan Differential cocycles and Dixmier-Douady bundles, Journal of Geometry and Physics, Volume 130 (2018), pp. 168-183 | DOI:10.1016/j.geomphys.2018.01.028 | Zbl:1427.53027
  • Krepski, Derek Basic equivariant gerbes on non-simply connected compact simple Lie groups, Journal of Geometry and Physics, Volume 133 (2018), pp. 30-41 | DOI:10.1016/j.geomphys.2018.06.016 | Zbl:1398.53031
  • Huebschmann, Johannes Normality of algebras over commutative rings and the Teichmüller class. III: Examples, Journal of Homotopy and Related Structures, Volume 13 (2018) no. 1, pp. 127-142 | DOI:10.1007/s40062-017-0175-1 | Zbl:1428.13011
  • Lee, Hyun Ho Homotopy classification of homogeneous projections in the corona algebra of C(X,B) for a graph X, Journal of Mathematical Analysis and Applications, Volume 461 (2018) no. 2, pp. 1404-1415 | DOI:10.1016/j.jmaa.2018.01.044 | Zbl:1394.46042
  • Mathai, Varghese; Melrose, Richard B. Geometry of pseudodifferential algebra bundles and Fourier integral operators, Duke Mathematical Journal, Volume 166 (2017) no. 10 | DOI:10.1215/00127094-0000013x
  • Botvinnik, Boris; Ebert, Johannes; Randal-Williams, Oscar Infinite loop spaces and positive scalar curvature, Inventiones Mathematicae, Volume 209 (2017) no. 3, pp. 749-835 | DOI:10.1007/s00222-017-0719-3 | Zbl:1377.53067
  • Benameur, Moulay-Tahar; Gorokhovsky, Alexander; Leichtnam, Eric The higher twisted index theorem for foliations, Journal of Functional Analysis, Volume 273 (2017) no. 2, pp. 496-558 | DOI:10.1016/j.jfa.2017.03.009 | Zbl:1402.58017
  • Brown, Lawrence G. Close hereditary C-subalgebras and the structure of quasi-multipliers, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, Volume 147 (2017) no. 2, pp. 263-292 | DOI:10.1017/s0308210516000172 | Zbl:1378.46038
  • Rennie, Adam; Sims, Aidan Non-commutative vector bundles for non-unital algebras, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, Volume 13 (2017), p. paper | DOI:10.3842/sigma.2017.041 | Zbl:1376.57030
  • Ebert, Johannes The two definitions of the index difference, Transactions of the American Mathematical Society, Volume 369 (2017) no. 10, pp. 7469-7507 | DOI:10.1090/tran/7133 | Zbl:1373.19005
  • Beckus, Siegfried; Bellissard, Jean Continuity of the spectrum of a field of self-adjoint operators, Annales Henri Poincaré, Volume 17 (2016) no. 12, pp. 3425-3442 | DOI:10.1007/s00023-016-0496-3 | Zbl:1354.81018
  • Evington, Samuel; Pennig, Ulrich Locally trivial W-bundles, International Journal of Mathematics, Volume 27 (2016) no. 11, p. 25 (Id/No 1650088) | DOI:10.1142/s0129167x16500889 | Zbl:1369.46056
  • Dadarlat, Marius; Pennig, Ulrich A Dixmier-Douady theory for strongly self-absorbing C-algebras, Journal für die Reine und Angewandte Mathematik, Volume 718 (2016), pp. 153-181 | DOI:10.1515/crelle-2014-0044 | Zbl:1431.46051
  • Brown, Lawrence G. On higher real and stable ranks for CCR C-algebras, Transactions of the American Mathematical Society, Volume 368 (2016) no. 10, pp. 7461-7475 | DOI:10.1090/tran/6616 | Zbl:1350.46037
  • Rosenberg, Jonathan Real Baum-Connes assembly and T-duality for torus orientifolds, Journal of Geometry and Physics, Volume 89 (2015), pp. 24-31 | DOI:10.1016/j.geomphys.2014.12.004 | Zbl:1326.46054
  • Dadarlat, Marius; Pennig, Ulrich A Dixmier-Douady theory for strongly self-absorbing C-algebras. II: The Brauer group, Journal of Noncommutative Geometry, Volume 9 (2015) no. 4, pp. 1137-1154 | DOI:10.4171/jncg/218 | Zbl:1346.46062
  • van Suijlekom, Walter D. The Noncommutative Geometry of Yang–Mills Fields, Noncommutative Geometry and Particle Physics (2015), p. 175 | DOI:10.1007/978-94-017-9162-5_10
  • Moutuou, El-kaïoum M. Graded Brauer groups of a groupoid with involution, Journal of Functional Analysis, Volume 266 (2014) no. 5, pp. 2689-2739 | DOI:10.1016/j.jfa.2013.12.019 | Zbl:1343.22002
  • Harju, Antti J.; Mickelsson, Jouko Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class, Journal of K-Theory, Volume 14 (2014) no. 2, p. 247 | DOI:10.1017/is014007001jkt274
  • Kaad, Jens A Serre-Swan theorem for bundles of bounded geometry, Journal of Functional Analysis, Volume 265 (2013) no. 10, pp. 2465-2499 | DOI:10.1016/j.jfa.2013.06.005 | Zbl:1288.46042
  • Lee, Hyun Ho Deformation of a projection in the multiplier algebra and projection lifting from the corona algebra of a non-simple C-algebra, Journal of Functional Analysis, Volume 265 (2013) no. 6, pp. 926-940 | DOI:10.1016/j.jfa.2013.05.030 | Zbl:1288.46041
  • Argerami, Martín; Farenick, Douglas; Massey, Pedro Second-order local multiplier algebras of continuous trace C∗-algebras, Journal of Mathematical Analysis and Applications, Volume 397 (2013) no. 2, p. 822 | DOI:10.1016/j.jmaa.2012.08.028
  • Kaliszewski, S.; Patani, Nura; Quigg, John Obstructions to a general characterization of graph correspondences, Journal of the Australian Mathematical Society, Volume 95 (2013) no. 2, pp. 169-188 | DOI:10.1017/s1446788713000177 | Zbl:1286.46063
  • Meinrenken, E. Twisted K-Homology and Group-Valued Moment Maps, International Mathematics Research Notices, Volume 2012 (2012) no. 20, p. 4563 | DOI:10.1093/imrn/rnr197
  • Alekseev, A.; Meinrenken, E. Dirac Structures and Dixmier–Douady Bundles, International Mathematics Research Notices, Volume 2012 (2012) no. 4, p. 904 | DOI:10.1093/imrn/rnr002
  • De Nittis, G.; Panati, G. The topological Bloch-Floquet transform and some applications, Spectral analysis of quantum Hamiltonians. Spectral Days 2010. Selected papers of the conference, Santiago, Chile, September 2010, Basel: Birkhäuser, 2012, pp. 67-105 | DOI:10.1007/978-3-0348-0414-1_5 | Zbl:1270.81087
  • Bressler, Paul; Gorokhovsky, Alexander; Nest, Ryszard; Tsygan, Boris Deformations of algebroid stacks, Advances in Mathematics, Volume 226 (2011) no. 4, pp. 3018-3087 | DOI:10.1016/j.aim.2010.10.008 | Zbl:1209.53062
  • Meinrenken, Eckhard Quantization of q-Hamiltonian SU(2)-spaces, Geometric Aspects of Analysis and Mechanics, Volume 292 (2011), p. 257 | DOI:10.1007/978-0-8176-8244-6_10
  • Lee, Hyun Ho Proper asymptotic unitary equivalence in KK-theory and projection lifting from the corona algebra, Journal of Functional Analysis, Volume 260 (2011) no. 1, pp. 135-145 | DOI:10.1016/j.jfa.2010.09.003 | Zbl:1210.46052
  • Huef, Astrid an; Kumjian, Alex; Sims, Aidan A Dixmier-Douady theorem for Fell algebras, Journal of Functional Analysis, Volume 260 (2011) no. 5, pp. 1543-1581 | DOI:10.1016/j.jfa.2010.11.011 | Zbl:1251.46028
  • Boeijink, Jord; van Suijlekom, Walter D. The noncommutative geometry of Yang-Mills fields, Journal of Geometry and Physics, Volume 61 (2011) no. 6, pp. 1122-1134 | DOI:10.1016/j.geomphys.2011.02.010 | Zbl:1213.58020
  • Robert, Leonel; Tikuisis, Aaron Hilbert C-modules over a commutative C-algebra, Proceedings of the London Mathematical Society. Third Series, Volume 102 (2011) no. 2, pp. 229-256 | DOI:10.1112/plms/pdq017 | Zbl:1218.46035
  • Block, Jonathan; Daenzer, Calder Mukai duality for gerbes with connection, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2010 (2010) no. 639 | DOI:10.1515/crelle.2010.014
  • Trentinaglia, Giorgio Tannaka duality for proper Lie groupoids, Journal of Pure and Applied Algebra, Volume 214 (2010) no. 6, pp. 750-768 | DOI:10.1016/j.jpaa.2009.08.004 | Zbl:1196.58007
  • Talponen, Jarno The isometry group of Lp(μ,X) is SOT-contractible, Journal of Mathematical Analysis and Applications, Volume 355 (2009) no. 2, pp. 634-638 | DOI:10.1016/j.jmaa.2009.02.021 | Zbl:1180.46029
  • Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B. Banach algebras and rational homotopy theory, Transactions of the American Mathematical Society, Volume 361 (2009) no. 1, pp. 267-295 | DOI:10.1090/s0002-9947-08-04477-2 | Zbl:1163.55006
  • Müller, Christoph; Wockel, Christoph Equivalences of smooth and continuous principal bundles with infinite-dimensional structure group, advg, Volume 9 (2009) no. 4, p. 605 | DOI:10.1515/advgeom.2009.032
  • Dadarlat, Marius; Winter, Wilhelm Trivialization of C(X)-algebras with strongly self-absorbing fibres, Bulletin de la Société Mathématique de France, Volume 136 (2008) no. 4, pp. 575-606 | DOI:10.24033/bsmf.2567 | Zbl:1170.46051
  • Echterhoff, Siegfried The K-theory of Twisted Group Algebras, C*-algebras and Elliptic Theory II (2008), p. 67 | DOI:10.1007/978-3-7643-8604-7_3
  • Brodzki, Jacek; Mathai, Varghese; Rosenberg, Jonathan; Szabo, Richard J. D-branes, RR-fields and duality on noncommutative manifolds, Communications in Mathematical Physics, Volume 277 (2008) no. 3, pp. 643-706 | DOI:10.1007/s00220-007-0396-y | Zbl:1162.58008
  • Vershik, A. M. The behavior of the Laplace transform of the invariant measure on the hypersphere of high dimension, Journal of Fixed Point Theory and Applications, Volume 3 (2008) no. 2, pp. 317-329 | DOI:10.1007/s11784-008-0066-5 | Zbl:1178.58010
  • Hochs, P.; Landsman, N.P. The Guillemin–Sternberg conjecture for noncompact groups and spaces, Journal of K-theory, Volume 1 (2008) no. 3, p. 473 | DOI:10.1017/is008001002jkt022
  • Blanchard, Étienne; Rohde, Randi; Rørdam, Mikael Properly infinite C(X)-algebras and K1-injectivity, Journal of Noncommutative Geometry, Volume 2 (2008) no. 3, pp. 263-282 | DOI:10.4171/jncg/21 | Zbl:1157.46032
  • Kališnik, J. Representations of orbifold groupoids, Topology and its Applications, Volume 155 (2008) no. 11, pp. 1175-1188 | DOI:10.1016/j.topol.2008.02.004 | Zbl:1141.22001
  • Zito, Pasquale A. 2C-categories with non-simple units, Advances in Mathematics, Volume 210 (2007) no. 1, pp. 122-164 | DOI:10.1016/j.aim.2006.05.017 | Zbl:1229.18006
  • Crocker, David; Raeburn, Iain; Williams, Dana P. Equivariant Brauer and Picard groups and a Chase-Harrison-Rosenberg exact sequence, Journal of Algebra, Volume 307 (2007) no. 1, pp. 397-408 | DOI:10.1016/j.jalgebra.2006.06.003 | Zbl:1118.46062
  • Mathai, Varghese; Stevenson, Danny On a generalised Connes-Hochschild-Kostant-Rosenberg theorem, Advances in Mathematics, Volume 200 (2006) no. 2, pp. 303-335 | DOI:10.1016/j.aim.2004.11.006 | Zbl:1098.19002
  • Bonora, L; Bytsenko, A A Fluxes, brane charges and Chern morphisms of hyperbolic geometry, Classical and Quantum Gravity, Volume 23 (2006) no. 11, p. 3895 | DOI:10.1088/0264-9381/23/11/014
  • Mathai, V. K-Theory, Encyclopedia of Mathematical Physics (2006), p. 246 | DOI:10.1016/b0-12-512666-2/00322-9
  • Evans, David E Twisted K-Theory and Modular Invariants: I Quantum Doubles of Finite Groups, Operator Algebras (2006), p. 117 | DOI:10.1007/978-3-540-34197-0_6
  • Mathai, Varghese; Rosenberg, Jonathan T-duality for torus bundles with H-fluxes via noncommutative topology, Communications in Mathematical Physics, Volume 253 (2005) no. 3, pp. 705-721 | DOI:10.1007/s00220-004-1159-7 | Zbl:1078.58006
  • Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. The index of projective families of elliptic operators, Geometry Topology, Volume 9 (2005), pp. 341-373 | DOI:10.2140/gt.2005.9.341 | Zbl:1083.58021
  • Vasselli, Ezio The C-algebra of a vector bundle and fields of Cuntz algebras, Journal of Functional Analysis, Volume 222 (2005) no. 2, pp. 491-502 | DOI:10.1016/j.jfa.2004.09.004 | Zbl:1081.46048
  • Tu, Jean-Louis; Xu, Ping; Laurent-Gengoux, Camille Twisted K-theory of differentiable stacks, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, Volume 37 (2004) no. 6, pp. 841-910 | DOI:10.1016/j.ansens.2004.10.002 | Zbl:1069.19006
  • Manjarin, Juan Jose Gravitational monopoles, anomalies and ME8bundles, Journal of High Energy Physics, Volume 2004 (2004) no. 11, p. 017 | DOI:10.1088/1126-6708/2004/11/017
  • Vasselli, Ezio Continuous fields of C-algebras arising from extensions of tensor C-categories, Journal of Functional Analysis, Volume 199 (2003) no. 1, pp. 122-152 | DOI:10.1016/s0022-1236(02)00093-9 | Zbl:1030.46097
  • Isidro, José M. Twisted K-theory in g>1 from D-branes, Journal of Geometry and Physics, Volume 42 (2002) no. 4, pp. 325-341 | DOI:10.1016/s0393-0440(01)00095-x | Zbl:1041.19002
  • Wurzbacher, Tilmann Fermionic Second Quantization and the Geometry of the Restricted Grassmannian, Infinite Dimensional Kähler Manifolds (2001), p. 287 | DOI:10.1007/978-3-0348-8227-9_6
  • Carey, A.; Farber, M.; Mathai, V. Correspondences, von Neumann Algebras and Holomorphic L2 Torsion, Canadian Journal of Mathematics, Volume 52 (2000) no. 4, p. 695 | DOI:10.4153/cjm-2000-030-7
  • Manuilov, V. M.; Troitsky, E. V. Hilbert C and W-modules and their morphisms, Journal of Mathematical Sciences (New York), Volume 98 (2000) no. 2, pp. 137-201 | DOI:10.1007/bf02355447 | Zbl:0968.46041
  • Troitsky, E. V. Geometry and topology of operators on Hilbert C-modules, Journal of Mathematical Sciences (New York), Volume 98 (2000) no. 2, pp. 245-290 | DOI:10.1007/bf02355449 | Zbl:0959.46043
  • Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K. Bundle gerbes applied to quantum field theory, Reviews in Mathematical Physics, Volume 12 (2000) no. 1, pp. 65-90 | DOI:10.1142/s0129055x00000046 | Zbl:0961.81127
  • Popov, P. S. A topological criterion for almost orthocomplementation of all functionals on ℓ2(C(X)), Mathematical Notes, Volume 65 (1999) no. 4, p. 532 | DOI:10.1007/bf02675373
  • Попов, Петр Сергеевич; Popov, Petr Sergeevich Топологический критерий почти-ортодополняемости любого функционала на 2(C(X)), Математические заметки, Volume 65 (1999) no. 4, p. 636 | DOI:10.4213/mzm1094
  • Crocker, David; Kumjian, Alexander; Raeburn, Iain; Williams, Dana P. An equivariant Brauer group and actions of groups on C-algebras, Journal of Functional Analysis, Volume 146 (1997) no. 1, pp. 151-184 | DOI:10.1006/jfan.1996.3010 | Zbl:0873.22003
  • Kaup, Wilhelm On JB-triples defined by fibre bundles, Manuscripta Mathematica, Volume 87 (1995) no. 3, pp. 379-403 | DOI:10.1007/bf02570482 | Zbl:0832.46044
  • Nishimura, Hirokazu On a duality between Boolean valued analysis and topological Reduction Theory, Mathematical Logic Quarterly, Volume 39 (1993) no. 1, p. 23 | DOI:10.1002/malq.19930390105
  • Mulvey, Christopher J.; Pelletier, Joan Wick A globalization of the Hahn-Banach theorem, Advances in Mathematics, Volume 89 (1991) no. 1, pp. 1-59 | DOI:10.1016/0001-8708(91)90082-i | Zbl:0745.03047
  • Nishimura, Hirokazu Some connections between boolean valued analysis and topological reduction theory for C*‐algebras, Mathematical Logic Quarterly, Volume 36 (1990) no. 5, p. 471 | DOI:10.1002/malq.19900360511
  • Packer, Judith A.; Raeburn, Iain Twisted crossed products of C-algebras. II, Mathematische Annalen, Volume 287 (1990) no. 4, pp. 595-612 | DOI:10.1007/bf01446916 | Zbl:0682.46043
  • Frank, Michael One‐Parameter Groups Arising from Real Subspaces of Self‐Dual Hilbert W*‐Moduli, Mathematische Nachrichten, Volume 145 (1990) no. 1, p. 169 | DOI:10.1002/mana.19901450113
  • Irmatov, Anvar On a new topology in the space of Fredholm operators, Annals of Global Analysis and Geometry, Volume 7 (1989) no. 2, pp. 93-106 | DOI:10.1007/bf00127860 | Zbl:0689.47006
  • Rosenberg, Jonathan Continuous-trace algebras from the bundle theoretic point of view, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 47 (1989) no. 3, p. 368 | DOI:10.1017/s1446788700033097
  • Bibliography, Banach *-Algebraic Bundles, Induced Representations, and the Generalized Mackey Analysis, Volume 126 (1988), p. 1373 | DOI:10.1016/s0079-8169(09)60024-6
  • Spielberg, John S. Embedding C-algebra extensions into AF algebras, Journal of Functional Analysis, Volume 81 (1988) no. 2, pp. 325-344 | DOI:10.1016/0022-1236(88)90104-8 | Zbl:0678.46047
  • Bibliography, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Basic Representation Theory of Groups and Algebras, Volume 125 (1988), p. 643 | DOI:10.1016/s0079-8169(09)60044-1
  • Parker, Ellen Maycock The Brauer group of graded continuous trace 𝐶*-algebras, Transactions of the American Mathematical Society, Volume 308 (1988) no. 1, p. 115 | DOI:10.1090/s0002-9947-1988-0946434-7
  • Hilsum, Michel; Skandalis, Georges Morphismes K-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes). (K-oriented morphisms between spaces of leaves and functoriality in Kasparov theory (after a conjecture of A. Connes)), Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, Volume 20 (1987) no. 3, pp. 325-390 | DOI:10.24033/asens.1537 | Zbl:0656.57015
  • Rosenberg, Jonathan Some Results on Cohomology with Borel Cochains, with Applications to Group Actions on Operator Algebras, Advances in Invariant Subspaces and Other Results of Operator Theory (1986), p. 301 | DOI:10.1007/978-3-0348-7698-8_22
  • Raeburn, Iain; Taylor, Joseph L. Continuous trace C*-algebras with given Dixmer-Douady class, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 38 (1985) no. 3, p. 394 | DOI:10.1017/s1446788700023661
  • Blackadar, Bruce; Kumjian, Alexander Skew products of relations and the structure of simple C-algebras, Mathematische Zeitschrift, Volume 189 (1985), pp. 55-63 | DOI:10.1007/bf01246943 | Zbl:0613.46049
  • Banai, Miklós Quantum relativity theory and quantum space-time, International Journal of Theoretical Physics, Volume 23 (1984) no. 11, p. 1043 | DOI:10.1007/bf02213416
  • Harpe, Pierre; McDuff, Dusa Acyclic groups of automorphisms, Commentarii Mathematici Helvetici, Volume 58 (1983) no. 1, p. 48 | DOI:10.1007/bf02564624
  • Blackadar, Bruce; Handelman, David Dimension functions and traces on C*-algebras, Journal of Functional Analysis, Volume 45 (1982), pp. 297-340 | DOI:10.1016/0022-1236(82)90009-x | Zbl:0513.46047
  • Plymen, R. J. The Weyl bundle, Journal of Functional Analysis, Volume 49 (1982), pp. 186-197 | DOI:10.1016/0022-1236(82)90079-9 | Zbl:0499.58015
  • Dupré, Maurice J.; Fillmore, Peter A. Triviality Theorems for Hilbert Modules, Topics in Modern Operator Theory, Volume 2 (1981), p. 71 | DOI:10.1007/978-3-0348-5456-6_6
  • Rao, M. M. Convolutions of vector fields-I, Mathematische Zeitschrift, Volume 174 (1980), pp. 63-79 | DOI:10.1007/bf01215083 | Zbl:0442.43015
  • Burden, C. W.; Mulvey, C. J. Banach spaces in categories of sheaves, Applications of Sheaves, Volume 753 (1979), p. 169 | DOI:10.1007/bfb0061818
  • Hofmann, Karl Heinrich; Keimel, Klaus Sheaf theoretical concepts in analysis: Bundles and sheaves of Banach spaces, Banach C(X)-modules, Applications of Sheaves, Volume 753 (1979), p. 415 | DOI:10.1007/bfb0061826
  • Prolla, Joäo B. The Approximation Property for Nachbin Spaces, Approximation Theory and Functional Analysis, Proceedings of the International Symposium on Approximation Theory, Volume 35 (1979), p. 371 | DOI:10.1016/s0304-0208(08)72479-4
  • Henry, M. S.; Taylor, D. C. Approximation in a Banach space defined by a continuous field of Banach spaces, Journal of Approximation Theory, Volume 27 (1979), pp. 76-92 | DOI:10.1016/0021-9045(79)90098-4 | Zbl:0429.41027
  • Dupré, Maurice J. DUALITY FOR C*-ALGEBRAS, Mathematical Foundations of Quantum Theory (1978), p. 329 | DOI:10.1016/b978-0-12-473250-6.50019-4
  • Delode, Claude Champs mesurables d'espaces sousliniens, Annales de l'Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique, Volume 13 (1977), pp. 181-191 | Zbl:0365.28001
  • REMOVED: References, C*-Algebras, Volume 15 (1977), p. 408 | DOI:10.1016/s0924-6509(09)70242-9
  • Taylor, Joseph L. Twisted products of Banach algebras and third Čech cohomology, K-Theory and Operator Algebras, Volume 575 (1977), p. 157 | DOI:10.1007/bfb0095709
  • Delode, C.; Arino, O.; Penot, J.-P. Champs mesurables et multisections, Annales de l'Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique, Volume 12 (1976), pp. 11-42 | Zbl:0348.54009
  • Dupre, Maurice J. Classifying Hilbert bundles. II, Journal of Functional Analysis, Volume 22 (1976), pp. 295-322 | DOI:10.1016/0022-1236(76)90014-8 | Zbl:0327.46064
  • Dupre, Maurice J. Classifying Hilbert bundles, Journal of Functional Analysis, Volume 15 (1974), pp. 244-278 | DOI:10.1016/0022-1236(74)90035-4 | Zbl:0275.46050
  • Varela, Januario Sectional representation of Banach modules, Mathematische Zeitschrift, Volume 139 (1974), pp. 55-61 | DOI:10.1007/bf01194144 | Zbl:0275.46041
  • Holdgrün, Horst S. Fastautomorphe Funktionen auf komplexen Räumen, Mathematische Annalen, Volume 203 (1973), pp. 35-64 | DOI:10.1007/bf01349244 | Zbl:0239.32020
  • Wigner, David Algebraic cohomology of topological groups, Transactions of the American Mathematical Society, Volume 178 (1973), pp. 83-93 | DOI:10.2307/1996690 | Zbl:0264.22001
  • Wigner, David Algebraic cohomology of topological groups, Transactions of the American Mathematical Society, Volume 178 (1973) no. 0, p. 83 | DOI:10.1090/s0002-9947-1973-0338132-7
  • Delaroche, Claire Extensions des C-algèbres, Bulletin de la Société Mathématique de France. Supplément. Mémoires, Volume 29 (1972), p. 142 | Zbl:0248.46047
  • Hofmann, Karl Heinrich Representations of algebras by continuous sections, Bulletin of the American Mathematical Society, Volume 78 (1972), pp. 291-373 | DOI:10.1090/s0002-9904-1972-12899-4 | Zbl:0237.16018
  • Machado, Silvio; Prolla, Joao B. An introduction to Nachbin spaces, Rendiconti del Circolo Matemàtico di Palermo. Serie II, Volume 21 (1972), pp. 119-139 | DOI:10.1007/bf02844237 | Zbl:0264.46022
  • Gel'fand, I. M.; Fuks, D. B. Topology of noncompact Lie groups, Functional Analysis and its Applications, Volume 1 (1967), pp. 285-295 | DOI:10.1007/bf01076008 | Zbl:0169.54702
  • Guichardet, A. Produits tensoriels contunus d'espaces et d'algèbres de Banach, Communications in Mathematical Physics, Volume 5 (1967), pp. 262-287 | DOI:10.1007/bf01646479 | Zbl:0148.37104
  • Cook, C. H.; Fischer, H. R. Uniform convergence structures, Mathematische Annalen, Volume 173 (1967), pp. 290-306 | DOI:10.1007/bf01781969 | Zbl:0166.18702
  • Dixmier, Jacques Traces sur les C-algèbres, Annales de l'Institut Fourier, Volume 13 (1963) no. 1, pp. 219-262 | DOI:10.5802/aif.139 | Zbl:0118.11303

Cité par 142 documents. Sources : Crossref, zbMATH