Independence in topological and C*-dynamics

2006/03/25 by David Kerr, Kerr, David, Hanfeng Li +1 · 8 citations
Computer Science · Mathematics · #37B05 #37B40 #46L55 #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Operator Algebras (math.OA) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.math/0603585

openalex publication_date 2006/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a systematic approach to the study of independence in topological dynamics with an emphasis on combinatorial methods. One of our principal aims is to combinatorialize the local analysis of topological entropy and related mixing properties. We also reframe our theory of dynamical independence in terms of tensor products and thereby expand its scope to C*-dynamics.

Citations

• Mean topological dimension

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