A Geometric Approach to Voiculescu-Brown Entropy

Kerr, David

Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 553-565

Résumé

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.

Détail

DOI : 10.4153/CMB-2004-054-2

Mots-clés : 46L55, 37B40

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