Smallness and Comparison Properties for Minimal Dynamical Systems
Dynamical Systems
2013-07-01 v1 Operator Algebras
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.
Cite
@article{arxiv.1306.6681,
title = {Smallness and Comparison Properties for Minimal Dynamical Systems},
author = {Julian Buck},
journal= {arXiv preprint arXiv:1306.6681},
year = {2013}
}
Comments
21 pages