Smallness and Comparison Properties for Minimal Dynamical Systems

Abstract

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.

21 pages

References in corpus (1)

• Minimal Dynamics and K-theoretic Rigidity: Elliott's Conjecture

Cited by in corpus (6)

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• Symbolic extensions of amenable group actions and the comparison property
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• Comparison and pure infiniteness of crossed products
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• Crossed Products by Automorphisms with the Tracial Quasi-Rokhlin Property