A K-Theoritic Approach to Some C-Algebras

Message:
Abstract:
In this paper we look at the K-theory of a specific C*-algebra closely related to the irrational rotation algebra. Also it is shown that any automorphism of a C*-algebra A induces group automorphisms of K_{1}(A) amd K_{0}(A) in an obvious way. An interesting problem for any C*-algebra A is to find out whether, given an automorphism of K_{0}(A) and an automorphism of K_{1}(A), we can lift them to an automorphism of A or M_{n}(A) for some positive integer n.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:4 Issue: 2, Nov 2009
Page:
25
https://www.magiran.com/p701838