Nonself-adjoint operator algebras for dynamical systems

2009/04/19 by Kenneth R. Davidson, K. R. Davidson, Davidson, K. R. +3
Computer Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Matrix Theory and Algorithms #Operator Algebras (math.OA) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math.DS #math.OA

paper · pdf · doi:10.48550/arxiv.0904.2875

16 pages. The paper has been accepted for publication in the proceedings of the workshop "Operator Structures and Dynamical Systems", Leiden, July 2008

arxiv created 2009/04/19 · openalex publication_date 2009/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is a survey of our recent work on operator algebras associated to dynamical systems that lead to classification results for the systems in terms of algebraic invariants of the operator algebras.

Related

• Non selfadjoint operator algebras: dynamics, classification and C*-envelopes
• Algebras of random operators associated to Delone dynamical systems
• Graph theoretic invariants for operator algebras associated to topological dynamics
• C^*-Envelope and Dilation Theory of Semigroup Dynamical Systems
• Admissibility of C*-Covers for Operator Algebra Dynamical Systems