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K-Theoretic Classification for Inductive Limit Z2 Actions on af Algebras

Published online by Cambridge University Press:  20 November 2018

George A. Elliott
Affiliation:
Department of Mathematics And University of Toronto, Ontario M5S 3G3 Mathematics Institute Universitetsparken DK-2100 Copenhagen Ø
Hongbing Su
Affiliation:
The Fields Institute 222 College Street Toronto, Ontario M5T 3J1
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Abstract

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In this paper a K-theoretic classification is given of the C*-dynamical systems where An is finite-dimensional. Corresponding to the trivial action is the K-theoretic classification for AF algebras obtained in [3] (also see [1]).

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1996

References

1. Bratteli, O., Inductive limits of finite dimensional C*-algebras, Trans. Amer. Math., Soc. 171(1972), 195234.Google Scholar
2. Bratteli, O., Elliott, G.A., Evans, D.E. and Kishimoto, A., On the classification of inductive limits of inner actions of a compact group, preprint.Google Scholar
3. Elliott, G., On the classification of inductive limits of sequences of semisimple finite-dimensional algebras, J., Algebra 38(1976), 2944.Google Scholar
4. Fact, T. and Marechal, O., Sur la automorphisms periodiques des C* -algebras UHF, J. Funct., Anal. 40(1981), 267301.Google Scholar
5. Handelman, D.E. and Rossmann, W., Actions of compact groups on AF-algebras, Illinois J., Math. 29(1985), 5195.Google Scholar
6. Kishimoto, A., Actions of finite groups on certain inductive limit C*-algebras, Internal J., Math. 1(1990), 267292.Google Scholar