English

A geometric approach to Voiculescu-Brown entropy

Operator Algebras 2007-05-23 v1 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.math/0304475,
  title  = {A geometric approach to Voiculescu-Brown entropy},
  author = {David Kerr},
  journal= {arXiv preprint arXiv:math/0304475},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T16:54:05.299Z