Spectral triples for hyperbolic dynamical systems
| Autor: | Michael F. Whittaker |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Mathematics::Dynamical Systems
Algebra and Number Theory Dynamical systems theory Primary 47C15 Secondary 37D20 47B25 Mathematics - Operator Algebras Dynamical Systems (math.DS) Topological entropy Dynamical system Space (mathematics) Mathematics::Geometric Topology Noncommutative geometry Spectral dimension FOS: Mathematics Geometry and Topology Mathematics - Dynamical Systems Operator Algebras (math.OA) Spectral triple Mathematical Physics Mathematics Mathematical physics |
| Zdroj: | Journal of Noncommutative Geometry. 7:563-582 |
| ISSN: | 1661-6952 |
| DOI: | 10.4171/jncg/127 |
| Popis: | Spectral triples are defined for C*-algebras associated with hyperbolic dynamical systems known as Smale spaces. The spectral dimension of one of these spectral triples is shown to recover the topological entropy of the Smale space. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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