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arxiv: 1306.6681 · v1 · pith:2T5AKMYV · submitted 2013-06-27 · math.DS · math.OA

Smallness and Comparison Properties for Minimal Dynamical Systems

Julian Buck This is my paper

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classification math.DS math.OA
keywords systemscomparisondynamicalminimalpropertyalgebrasapplicationsclass
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We introduce the dynamic comparison property for minimal dynamical systems which has applications to the study of crossed product C*-algebras. We demonstrate that this property holds for a large class of systems which includes all examples where the underlying space is finite-dimensional, as well as for an explicit infinite-dimensional example, showing that the it is strictly weaker than finite-dimensionality in general.

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    math.DS 2026-07 unverdicted novelty 7.0

    Existence of topologically free minimal F_∞-actions on the Cantor set without dynamical comparison (with or without invariant measures), plus separation of strict comparison in the crossed product from dynamical compa...