Ground States for Generalized Gauge Actions on UHF Algebras
| Autor: | Klaus Thomsen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Pure mathematics Mathematics::Operator Algebras Unital 010102 general mathematics Mathematics - Operator Algebras Structure (category theory) Statistical and Nonlinear Physics Field (mathematics) Gauge (firearms) 01 natural sciences Ultra high frequency 0103 physical sciences FOS: Mathematics 010307 mathematical physics State space (physics) 0101 mathematics Algebra over a field Operator Algebras (math.OA) Computer Science::Operating Systems Mathematical Physics |
| Zdroj: | Thomsen, K 2021, ' Ground States for Generalized Gauge Actions on UHF Algebras ', Communications in Mathematical Physics, vol. 386, no. 1, pp. 57-85 . https://doi.org/10.1007/s00220-021-04075-1 |
| DOI: | 10.1007/s00220-021-04075-1 |
| Popis: | We describe the structure of ground states and ceiling states for generalized gauge actions on an UHF algebra. It is shown that both sets are affinely homeomorphic to the state space of a unital AF algebra, and that any pair of unital AF algebras can occur in this way, independently of the field of KMS states. In addtion, we study the KMS-infinity states. Improved exposition and added a section on KMS-infinity states |
| Databáze: | OpenAIRE |
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