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Search: MSC category 37B40 ( Topological entropy )

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1. CMB 2004 (vol 47 pp. 553)

Kerr, David
A Geometric Approach to Voiculescu-Brown Entropy
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.

Categories:46L55, 37B40

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