Back to Search
Start Over
Property (T) for non-unital C*-algebras
- Publication Year :
- 2007
-
Abstract
- Inspired by the recent work of Bekka, we study two reasonable analogues of property (T) for not necessarily unital C*-algebras. The stronger one of the two is called ``property (T)'' and the weaker one is called ``property (T_{e})''. It is shown that all non-unital C*-algebras do not have property (T) (neither do their unitalizations). Moreover, all non-unital $\sigma$-unital C*-algebras do not have property (T_e).<br />Comment: 7 pages; to appear in J. Math. Anal. Appl
- Subjects :
- Mathematics - Operator Algebras
Mathematics - Functional Analysis
46L
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0710.5605
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jmaa.2007.10.049