Classifying C*-algebras via ordered, mod-p K-theory

Mathematische Annalen

Volumn 305, Issue 1, 1996, Pages 601-616

  Dadarlat, Marius ^a   Loring, Terry A ^b  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030521095     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01444239     Document Type: Article

References (29)

1. B. Blackadar: K-theory for Operator Algebras, M.S.R.I. Monographs No. 5. Springer-Verlag, Berlin, New York, 1986
2. B. Blackadar: Shape theory for C*-algebras. Math. Scandinavica 56 (1985), 249-275
3. B. Blackadar: Symmetries of the CAR algebra. Annals of Math. 131 (1990), 589-623
4. O. Bratteli: Inductive limits of finite dimensional C*-algebras. Trans. Amer. Math. Soc. 1971 (1972), 195-234
5. O. Bratteli, G.A. Elliott, D.E. Evans, A. Kishimoto: Finite group actions of AF algebras obtained by folding the interval, K-theory
6. L.G. Brown, G. Pedersen: C*-algebras of real rank zero. J. Funct. Anal. 99 (1991), 131-149
7. A. Connes, N. Higson: Deformations, morphismes asymptotiques et K-theorie bivariante. C.R. Acad. Sci. Paris 313 (1990), 101-106
8. M. Dadarlat: Shape theory and asymptotic morphisms for C*-algebras. Duke J. 73 (1994), 687-710
9. M. Dadarlat: Approximately unitarily equivalent morphisms and inductive limit C*-algebras, K-theory. 9 (1995), 117-137
10. M. Dadarlat: Reduction to dimension three of local spectra of real rank zero C*-algebras. J. reine angew. Math. 460 (1995), 189-212
11. M. Dadarlat, T.A. Loring: K-homology, asymptotic representations and unsuspended E-theory. J. Funct. Anal. 126 (1994), 367-383
12. M. Dadarlat, T.A. Loring: The K-theory of abelian subalgebras of AF algebras. J. reine angew. Math. 432 (1992), 39-55
13. M. Dadarlat, A Nemethi: Shape Theory and (connective) K-theory. J. Operator Th. 23 (1990), 207-291
14. E.G. Effros: On the structure of C*-algebras. Some old and new problems, Operator algebras and applications. Proc. Symp. Pure Math. no. 48 part 1. Amer. Math. Soc., Providence R.I., 1982, pp. 19-34
15. E.G. Effros, J. Kaminker: Homotopy continuity and shape theory for C*-algebras. Geometric methods in operator algebras. U.S.-Japan seminar at Kyoto 1983. Pitman 1985
16. E.G. Effros, J. Kaminker: Some homotopy and shape computations. Group Representations, Ergodic Theory, Operator Algebras and Mathematical Physics (C.C. Moore, ed.), MSRI series no. 6 1986. Springer-Verlag
17. G.A. Elliott: On the classification of inductive limits of sequences of semisimple finite-dimensional algebras. J. Algebra 39 (1976), 29-44
18. G. Elliott: On the classification of C*-algebras of real rank zero I. J. reine angew. Math. 443 (1993), 179-219
19. G.A. Elliott, G. Gong: On the classification of C*-algebras of real rank zero II. Preprint 1994
20. G.A. Elliott, G. Gong, H. Lin, C. Pasnicu: Abelian C*-algebras of C*-algebras of real rank zero and inductive limit C*-algebras. Preprint 1993
21. D.E. Evans, A. Kishimoto: Compact group actions on AF algebras obtained by folding the interval. J. Funct. Anal. 98 (1991), 346-360
22. G. Gong: Classification of C*-algebras of real rank zero and unsuspended E-equivalence types. Preprint, 1994
23. G. Gong: On Inductive limits of matrix algebras over higher dimensional spaces II. Preprint, 1994
24. G.G. Kasparov: The operator K-functor and extensions of C*-algebras. Math. URSS Izv. 16 (1981), 513-572
25. H. Lin: Approximation by normal elements with finite spectrum in C*-algebras of real rank zero. Preprint (1992)
26. T.A. Loring: The K-theory of AF embeddings of the rational rotation algebras. K-theory 4 (1991), 227-243
27. T.A. Loring: Stable relations II: corona semiprojectivity and dimension-drop C*-algebras, to appear, Pacific J. Math.
28. J. Rosenberg, C. Schochet: The Künneth theorem and the universal coefficient theorem for Kasparov's generalized functor. Duke Math. J. 55 (1987), 431-474
29. C. Schochet: Topological methods for C*-algebras IV, Mod p K-theory. Pacific J. Math. 114 (1984), 447-468