Property $(T)$ and strong Property $(T)$ for unital $C^*$-algebras
| dc.creator | Leung, Chi-Wai | |
| dc.creator | Ng, Chi-Keung | |
| dc.date | 2009-01-14 | |
| dc.date.accessioned | 2026-07-07T12:29:28Z | |
| dc.date.available | 2026-07-07T12:29:28Z | |
| dc.description | In this paper, we will give a thorough study of the notion of Property $(T)$ for $C^*$-algebras (as introduced by M.B. Bekka in \cite{Bek-T}) as well as a slight stronger version of it, called "strong property $(T)$" (which is also an analogue of the corresponding concept in the case of discrete groups and type $\rm II_1$-factors). More precisely, we will give some interesting equivalent formulations as well as some permanence properties for both property $(T)$ and strong property $(T)$. We will also relate them to certain $(T)$-type properties of the unitary group of the underlying $C^*$-algebra. | |
| dc.identifier | https://arxiv.org/abs/0901.1948 | |
| dc.identifier | http://arxiv.org/abs/0901.1948 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215890 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L05, 22D25 | |
| dc.title | Property $(T)$ and strong Property $(T)$ for unital $C^*$-algebras | |
| dc.type | text |