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A Geometric Approach to Voiculescu-Brown Entropy

  Published:2004-12-01
 Printed: Dec 2004
  • David Kerr
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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.
MSC Classifications: 46L55, 37B40 show english descriptions Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
Topological entropy
46L55 - Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
37B40 - Topological entropy
 

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