A Geometric Approach to Voiculescu-Brown Entropy
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Publication:4658815
DOI10.4153/CMB-2004-054-2zbMATH Open1082.46046arXivmath/0304475MaRDI QIDQ4658815
Publication date: 21 March 2005
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/math/0304475
Related Items (3)
Entropy and Poincaré recurrence from a geometrical viewpoint ⋮ Universality in the geometric dependence of Rényi entropy ⋮ Analytic results on the geometric entropy for free fields
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