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A Geometric Approach to Voiculescu-Brown Entropy

Published online by Cambridge University Press:  20 November 2018

David Kerr
Affiliation:
Mathematisches Institut Westfälische Wilhelms-Universität Münster Einsteinstraß 62 48149 Münster Germany, e-mail: kerr@math.uni-muenster.de
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Abstract

A basic problem in dynamics is to identify systems with positive entropy, i.e., systems which are “chaotic.” While there is a vast collection of results addressing this issue in topological dynamics, the phenomenon of positive entropy remains by and large a mystery within the broader noncommutative domain of ${{C}^{*}}$ -algebraic dynamics. To shed some light on the noncommutative situation we propose a geometric perspective inspired by work of Glasner and Weiss on topological entropy. This is a written version of the author’s talk at the Winter 2002 Meeting of the Canadian Mathematical Society in Ottawa, Ontario.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2004

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