Property (T) for topological groups and C *-algebras
Journal of Mathematical Sciences(2009)
Abstract
The aim of the present (mostly expository) paper is to show the relationship of a generalization of Kazhdan’s property (T) for C *-algebras introduced in our recent paper to that of B. Bekka. It is shown that our definition coincides with Bekka’s definition for group C *-algebras of locally compact groups, whereas, in general, these definitions are distinct. Criteria for a C *-algebra to possess our property (T) are given. A number of examples of C *-algebras with and without property (T) are considered. Relations to K-theory are studied.
MoreTranslated text
Key words
Irreducible Representation,Topological Group,Compact Group,Direct Summand,Unitary Representation
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined