C*-Algebras, Approximately Proper Equivalence Relations, and Thermodynamic Formalism
| dc.creator | Exel, R. | |
| dc.creator | Lopes, A. | |
| dc.date | 2002-06-07 | |
| dc.date | 2002-07-02 | |
| dc.date.accessioned | 2026-07-07T04:48:57Z | |
| dc.date.available | 2026-07-07T04:48:57Z | |
| dc.description | We introduce a non-commutative generalization of the notion of (approximately proper) equivalence relation and propose the construction of a "quotient space". We then consider certain one-parameter groups of automorphisms of the resulting C*-algebra and prove the existence of KMS states at every temperature. In a model originating from Thermodynamics we prove that these states are unique as well. We also show a relationship between maximizing measures (the analogue of the Aubry-Mather measures for expanding maps) and ground states. In the last section we explore an interesting example of phase transitions. | |
| dc.description | The statement of Theorem 9.10 was reformulated to include a missing hypothesis and some references were added | |
| dc.identifier | https://arxiv.org/abs/math/0206074 | |
| dc.identifier | http://arxiv.org/abs/math/0206074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64251 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.title | C*-Algebras, Approximately Proper Equivalence Relations, and Thermodynamic Formalism | |
| dc.type | text |