Crossed products and entropy of automorphisms
| dc.creator | Pop, Ciprian | |
| dc.creator | Smith, Roger R. | |
| dc.date | 2002-09-02 | |
| dc.date | 2003-04-16 | |
| dc.date.accessioned | 2026-07-07T04:50:32Z | |
| dc.date.available | 2026-07-07T04:50:32Z | |
| dc.description | Let A be an exact C^*-algebra, let G be a locally compact group, and let (A,G,α) be a C*-dynamical system. Each automorphism α_g induces a spatial automorphism Ad_{\lamba_g} on the reduced crossed product A\times_αG. In this paper we examine the question, first raised by E. Stormer, of when the topological entropies of α_g and Ad_{α_g} coincide. This had been answered by N. Brown for the particular case of discrete abelian groups. Using different methods, we extend his result to a wider class of groups called locally [FIA]^-. This class includes all abelian groups, both discrete and continuous, as well as all compact groups. | |
| dc.description | A few corrections suggested by the referee. To appear in Journal of Functional Analysis | |
| dc.identifier | https://arxiv.org/abs/math/0209016 | |
| dc.identifier | http://arxiv.org/abs/math/0209016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64828 | |
| dc.subject | Operator Algebras | |
| dc.subject | Mathematical Physics | |
| dc.title | Crossed products and entropy of automorphisms | |
| dc.type | text |