A Geometric Approach to Voiculescu-Brown Entropy

Canadian mathematical bulletin

关键词: Hardy operator;    Hardy-Steklov operator;    compactness;    boundedness;    star-shaped regions;   

DOI  :  10.4153/CMB-2004-054-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A basic problem in dynamics is to identify systems with positive entropy, i.e., systems which are ``chaotic.'' Whilethere 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 talkat the Winter 2002 Meeting of the Canadian Mathematical Societyin Ottawa, Ontario.

【 授权许可】

Unknown