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Property (T) for non-unital C-algebras

Chi-Wai Leung Chi-Keung Ng Ngai-Ching Wong

Functional Analysis mathscidoc:1910.43707

Journal of Mathematical Analysis and Applications, 341, (2), 1102-1106, 2008.5
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).
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@inproceedings{chi-wai2008property,
  title={Property (T) for non-unital C-algebras},
  author={Chi-Wai Leung, Chi-Keung Ng, and Ngai-Ching Wong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020211337409282236},
  booktitle={Journal of Mathematical Analysis and Applications},
  volume={341},
  number={2},
  pages={1102-1106},
  year={2008},
}
Chi-Wai Leung, Chi-Keung Ng, and Ngai-Ching Wong. Property (T) for non-unital C-algebras. 2008. Vol. 341. In Journal of Mathematical Analysis and Applications. pp.1102-1106. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020211337409282236.
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