Characterization of linear groups whose reduced C*-algebras are simple
| dc.creator | Poznansky, Tal | |
| dc.date | 2008-12-12 | |
| dc.date | 2009-05-24 | |
| dc.date.accessioned | 2026-07-07T13:17:18Z | |
| dc.date.available | 2026-07-07T13:17:18Z | |
| dc.description | The reduced C*-algebra of a countable linear group G is shown to be simple if and only if G has no nontrivial normal amenable subgroups. Moreover, these conditions are shown to be equivalent to the uniqueness of tracial state on the aforementioned C*-algebra. | |
| dc.description | 42 pages; In previous versions, statement of Proposition 2.11 was erroneous. Here is the list of resulting corrections: statement and proof of Proposition 2.11; Remark 2.12; statements of Proposition 2.17 and Theorems 6.4 and 6.5; proof of Theorem 6.3; addition of Lemma 6.6 | |
| dc.identifier | https://arxiv.org/abs/0812.2486 | |
| dc.identifier | http://arxiv.org/abs/0812.2486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231069 | |
| dc.subject | Group Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | 22D25 (Primary) 46L05 (Secondary) | |
| dc.title | Characterization of linear groups whose reduced C*-algebras are simple | |
| dc.type | text |