Non-microstates free entropy dimension for groups
| dc.creator | Mineyev, I. | |
| dc.creator | Shlyakhtenko, D. | |
| dc.date | 2003-12-11 | |
| dc.date | 2005-02-01 | |
| dc.date.accessioned | 2026-07-07T05:03:49Z | |
| dc.date.available | 2026-07-07T05:03:49Z | |
| dc.description | We show that for any discrete finitely-generated group G and any self-adjoint n-tuple X_1,...,X_n of generators of the group algebra of G, Voiculescu's non-microstates free entropy dimension δ^*(X_1,...,X_n) is exactly equal to β_1 (G)-β_0 (G)+1, where β_i are the L^2 Betti numbers of G. | |
| dc.description | Revised version. Some explanations added and several typos fixed. To appear in Geom. and Func. Anal | |
| dc.identifier | https://arxiv.org/abs/math/0312242 | |
| dc.identifier | http://arxiv.org/abs/math/0312242 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69571 | |
| dc.subject | Operator Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 46L54; 20J06 | |
| dc.title | Non-microstates free entropy dimension for groups | |
| dc.type | text |