Amenable groups, topological entropy and Betti numbers

1999/11/25 by Gábor Elek, Gabor Elek, Elek, Gabor
Computer Science · Mathematics · Physics and Astronomy · #28D20 #43A07 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Topological and Geometric Data Analysis #math.DS #msc:28D20 #msc:43A07

paper · pdf · doi:10.48550/arxiv.math/9911202

19 pages

arxiv created 1999/11/25 · openalex publication_date 1999/11/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate an analogue of the L²-Betti numbers for amenable linear subshifts. The role of the von Neumann dimension shall be played by the topological entropy.

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