A geometric approach to Voiculescu-Brown entropy

Details A geometric approach to Voiculescu-Brown entropy A geometric approach to Voiculescu-Brown entropy

2003-04-29

arxiv.org/abs/math/0304475v1

Mathematics

Operator Algebras

13 pages

Scientific paper

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.

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