A Geometric Approach to Voiculescu-Brown Entropy
Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 553-565
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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.
Kerr, David. A Geometric Approach to Voiculescu-Brown Entropy. Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 553-565. doi: 10.4153/CMB-2004-054-2
@article{10_4153_CMB_2004_054_2,
author = {Kerr, David},
title = {A {Geometric} {Approach} to {Voiculescu-Brown} {Entropy}},
journal = {Canadian mathematical bulletin},
pages = {553--565},
year = {2004},
volume = {47},
number = {4},
doi = {10.4153/CMB-2004-054-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-054-2/}
}
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