@article{TSG_1990-1991__9__119_0, author = {Lesch, Matthias}, title = {$K$-theory and {Toeplitz} $C^\ast $-algebras - a survey}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {119--132}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {9}, year = {1990-1991}, mrnumber = {1715935}, zbl = {0752.46039}, language = {en}, url = {http://archive.numdam.org/item/TSG_1990-1991__9__119_0/} }
TY - JOUR AU - Lesch, Matthias TI - $K$-theory and Toeplitz $C^\ast $-algebras - a survey JO - Séminaire de théorie spectrale et géométrie PY - 1990-1991 SP - 119 EP - 132 VL - 9 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/item/TSG_1990-1991__9__119_0/ LA - en ID - TSG_1990-1991__9__119_0 ER -
Lesch, Matthias. $K$-theory and Toeplitz $C^\ast $-algebras - a survey. Séminaire de théorie spectrale et géométrie, Tome 9 (1990-1991), pp. 119-132. http://archive.numdam.org/item/TSG_1990-1991__9__119_0/
[At] K-Theory, Benjamin, 1967. | MR
-[B] K-Theory for Operator Algebras, Springer, 1986. | Zbl
-[BCK] Opérateurs de Wiener-Hopf sur les Sphères de Lie, C. R. Acad. Sci. Paris, Sér. A+B , 290 ( 1980), 989-991. | MR | Zbl
, , -[BM] On the index of Toeplitz operators of several complex variables, Invent. Math., 50 ( 1979), 244-272. | MR | Zbl
-[C] Sur les Domaines bornés homogènes de l'espace de n variables complexes, Abh. Math. Sem. Hamburg, 11 ( 1936), 116-162. | JFM
-[Cu] K-Theory and C*-algebras, Springer Lecture Notes in Math., bf 1046 , 55-79. | MR | Zbl
-[GK] Systems of integral operators on a half-line with kernels depending on the difference of the arguments, Amer. Math. Soc. Transl., 14 ( 1960), 217-287. | MR
, -[GN] On the embedding of normed rings into the ring of operators in Hilbert space, Mat. Sbornik, 12 ( 1943), 197-213. | Zbl
, -[H] Harmonic analysis of functions of several complex variables in the classical domains, Transl. Math. Monogr. 6, Providence, Rhode Island, 1963. | Zbl
-[JK] The K-theory of Toeplitz extensions, J. Op. Theory, 19 ( 1988), 347-354. | Zbl
, . -[K] K-Theory, Springer, 1978. | Zbl
-[KW] The realization of hermitian symmetric spaces as generalized half planes, Ann. Math., 81 ( 1965), 265-288. | Zbl
, -[Ll] K-theory of Toeplitz C*-algebras on Lie spheres, Int. Equ. Op. Theory , 14 ( 1991), 120-145. | Zbl
-[L2] On the index of the infinitesimal generator of a flow, preprint, Augsburg 1989, to appear in J. Op. Theory. | MR | Zbl
-[MPX] On the K-theory of some C*-algebras of Toeplitz and singular integral operators, preprint 1989. | Zbl
, , -[S1] Einige kontinuierliche Indexsätze, Dissertation, Marburg, 1982.
-[S2] Some continuous index theorems, Int. Equ. Op. Theory, 7 ( 1984), 868-883. | Zbl
-[Sch] Topological methods for C*-algebras I: Spectral sequences, Pac. J. Math., 96 ( 1981), 193-211. | Zbl
-[SP] On the K-theory of quarter-plane Toeplitz algebras, Int. J. Math., 2 ( 1991), 295-204. | Zbl
, -[Up1] Toeplitz operators on bounded symmetric domains, Trans. Amer. Math. Soc., 280 ( 1983), 221-237. | Zbl
-[Up2] Toeplitz C*-algebras on bounded symmetric domains, Ann. Math., 119 ( 1984), 549-576. | MR | Zbl
-[Up3] Fredholm indices for Toeplitz operators on bounded symmetric domains, Amer. J. Math., 110 ( 1988), 811-832. | MR | Zbl
-[V] Fredholm operators associated with strongly pseudoconvex domains in Cn, J. Funct. An., 9 ( 1972), 349-373. | MR | Zbl
-[W] Banach algebras and Bott periodicity, Topology, 4 ( 1966), 371-389. | MR | Zbl
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