Property (T) for non-unital C*-algebras
Operator Algebras
2015-05-13 v1 Functional Analysis
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 -unital C*-algebras do not have property (T_e).
Keywords
Cite
@article{arxiv.0710.5605,
title = {Property (T) for non-unital C*-algebras},
author = {Chi-Wai Leung and Chi-Keung Ng and Ngai-Ching Wong},
journal= {arXiv preprint arXiv:0710.5605},
year = {2015}
}
Comments
7 pages; to appear in J. Math. Anal. Appl