Asymptotic unitary equivalence in KK-theory

K-Theory

Volumn 23, Issue 4, 2001, Pages 305-322

  Dadarlat, Marius ^a   Eilers, Søren ^b  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Classification of nuclear C* algebras; Cuntz pairs; KK theory

Indexed keywords

EID: 0005601742     PISSN: 09203036     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1011930304577     Document Type: Article

References (17)

1. Brown, L. G., Douglas, R. G. and Fillmore, P. A.: Unitary equivalence modulo the compact operators and extensions of C*-algebras, Proc. Conf. Operator Theory, (Dalhousie Univ., Halifax, N.S., 1973), Lecture Notes in Math. 345, Springer, New York, 1973, pp. 58-128.
2. Cuntz, J.: Generalized homomorphisms between C*-algebras and KK-theory, Dynamics and Processes, Lecture Notes in Math. 1031, Springer, New York, 1983, pp. 31-45.
3. Dadarlat, M.: Approximately unitarily equivalent morphisms and inductive limit C*-algebras, K-Theory 9 (1995), 117-137.
4. Dadarlat, M. and Eilers, S.: On the classification of nuclear C*-algebras, to appear in Proc. London Math. Soc.
5. Higson, N.: A characterization of KK-theory, Pacific J. Math. 126(2) (1987), 253-276.
6. Kasparov, G. G.: Hubert C*-modules: Theorems of Stinespring and Voiculescu, J. Operator Theory 4(1) (1980), 133-150.
7. Kasparov, G. G.: The operator K-functor and extensions of C*-algebras, Izv. Akad. Nauk SSSR Ser. Mat. 44(3) (1980), 571-636, 719.
8. Kirchberg, E.: The classification of purely infinite C*-algebras using Kasparov's theory. Preprint, third draft, 1994.
9. Kadison, R. V. and Ringrose, J. R.: Derivations and automorphisms of operator algebras, Comm. Math. Phys. 4 (1967), 32-63.
10. Lin, H.: Stably approximately unitary equivalence of homomorphisms, Preprint, 1997.
11. Paschke, W. L.: K-theory for commutants in the Calkin algebra, Pacific J. Math. 95(2) (1981), 427-434.
12. Pedersen, G. K.: C*-Algebras and Their Automorphism Groups, Academic Press, London, 1979.
13. Phillips, N. C.: A classification theorem for nuclear purely infinite simple C*-algebras, Documenta Math. 5 (2000), 49-114.
14. Skandalis, G.: Une notion de nucléarité en K-théorie (d'après J. Cuntz), K-Theory 1(6) (1988), 549-573.
15. Skandalis, G.: Kasparov's bivariant K-theory and applications, Exposition. Math. 9(3) (1991), 193-250.
16. Thomsen, K.: On absorbing extensions, Proc. Amer. Math. Soc. 29 (2001), 1409-1417.
17. Voiculescu, D.: A non-commutative Weyl-von Neumann theorem, Rev. Roumaine Math. Pures Appl. 21(1) (1976), 97-113.