Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

A Classification of Certain Simple C*-algebras, II


Affiliations
1 Department of Mathematics, University of Toronto, Toronto, Ontario, Canada
     

   Subscribe/Renew Journal


The purpose of this paper is to show that simple unital C* algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over C(T) are classified by K-theoretical and tracial data. This unifies earlier results, in the case that the tracial data are redundant, and in the case that the K1-group is zero ([51, [6]). Let us recall these earlier results.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 342

PDF Views: 0




  • A Classification of Certain Simple C*-algebras, II

Abstract Views: 342  |  PDF Views: 0

Authors

George A. Elliott
Department of Mathematics, University of Toronto, Toronto, Ontario, Canada

Abstract


The purpose of this paper is to show that simple unital C* algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over C(T) are classified by K-theoretical and tracial data. This unifies earlier results, in the case that the tracial data are redundant, and in the case that the K1-group is zero ([51, [6]). Let us recall these earlier results.