Homotopy of projections in C * -algebras of stable rank one
Recent advances in operator algebras - Orléans, 1992, Astérisque no. 232  (1995), p. 115-120
@incollection{AST_1995__232__115_0,
     author = {Brown, Lawrence G.},
     title = {Homotopy of projections in $C^\ast$-algebras of stable rank one},
     booktitle = {Recent advances in operator algebras - Orl\'eans, 1992},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {232},
     year = {1995},
     pages = {115-120},
     zbl = {0846.46035},
     mrnumber = {1372529},
     language = {en},
     url = {http://www.numdam.org/item/AST_1995__232__115_0}
}
Brown, Lawrence G. Homotopy of projections in $C^\ast$-algebras of stable rank one, in Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 115-120. http://www.numdam.org/item/AST_1995__232__115_0/

1. B. Blackadar, K-theory for Operator Algebras, MSRI Publication No. 5, Springer-Verlag, New York, 1986. | MR 859867 | Zbl 0597.46072

2. B. Blackadar, A. Kumjian and M. Rørdam, Approximately central matrix units and the structure of noncommutative tori, preprint. | Article | MR 1189278 | Zbl 0813.46064

3. L. G. Brown and G. K. Pedersen, C * -algebras of real rank zero, J. Funct. Anal. 99 (1991), 131-149. | Article | MR 1120918 | Zbl 0776.46026

4. L. G. Brown and G. K. Pedersen, The geometry of the unit ball of a C * -algbra (in the final stages of preparation). | MR 1363827 | Zbl 0834.46041

5. L. G. Brown and G. K. Pedersen, Non-stable K-theory and extremally rich C * -algebras (tentative title, in preparation). | Zbl 1303.46062

6. J. W. Calkin, Two-sided ideals and congruences in the ring of bounded operators in Hilbert space, Ann. of Math. 42 (1941), 839-873. | Article | MR 5790 | Zbl 0063.00692

7. J. Cuntz, K-theory for certain C * -algebras, Ann. of Math. 131 (1981), 181-197. | Article | MR 604046 | Zbl 0437.46060

8. E. G. Effros and K. Kaminker, Some homotopy and shape calculations for C * -algebras, Group Representations, Ergodic Theory, Operator Algebras and Mathematical Physics, MSRI Publication No. 6, Springer-Verlag, New York, 1987. | Article | MR 880373 | Zbl 0632.46064

9. G. A. Elliott and D. E. Evans, The structure of the irrational rotation C * -algebra, preprint. | MR 1247990 | Zbl 0847.46034

10. H. Lin, Approximation by normal elements with finite spectra in C * -algebras of real rank zero, preprint. | MR 1394400 | Zbl 0860.46039

11. W. L. Paschke, K-theory for actions of the circle group on C * -algebras, J. Operator Theory 6 (1981), 125-133. | MR 637006 | Zbl 0478.46057

12. G. K. Pedersen, The λ -function in operator algebras, J. Operator Theory (to appear). | MR 1225521 | Zbl 0784.46043

13. M. A. Rieffel, Dimension and stable rank in the K-theory of C * -algebras, Proc. London Math. Soc. 46 (1983), 301-333. | Article | MR 693043 | Zbl 0533.46046

14. M. A. Rieffel, The homotopy groups of the unitary groups of non-commutative tori, J. Operator Theory 17 (1987), 237-254. | MR 887221 | Zbl 0656.46056

15. M. Rørdam, Advances in the theory of unitary rank and regular approximation, Ann. of Math. 128 (1988), 153-172. | Article | MR 951510 | Zbl 0659.46052

16. M. Rørdam, On the structure of simple C * -algebras tensored with a UHF-algebra, J. Funct. Anal. 100 (1991), 1-17. | Article | MR 1124289 | Zbl 0773.46028

17. S. Zhang, Diagonalizing projections in the multiplier algebra and matrices over a C * -algebra, Pacific J. Math. 145 (1990), 181-200. | Article | MR 1066403 | Zbl 0673.46049

18. S. Zhang, Certain C * -algebras with real rank zero and their corona and multiplier algebras, Part I, Pacific J. Math. (to appear). | MR 1174483 | Zbl 0816.46057

19. S. Zhang, Certain C * -algebras with real rank zero and their corona and multiplier algebras, Part II, K-theory (to appear). | MR 1186771 | Zbl 0816.46058

20. S. Zhang, C * -algebras with real rank zero and the internal structure of their corona and multiplier algebras, part III, Canad. J. Math. 62 (1990), 159-190. | Article | MR 1043517 | Zbl 0721.46033

21. S. Zhang, Homotopy of projections and factorization in the unitary groups of certain C * -algebras (preprint). | MR 1269265 | Zbl 0808.46085