 9493 Thomas Hudetz
 Topological Entropy for Appropriately Approximated C*algebras
(158K, AMSLatex)
Apr 18, 94

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. The ``classical'' topological entropy is one of the main numerical invariants
in topological dynamics on compact spaces. Here, the author's recent
development of a noncommutative generalization of topological entropy, in
the natural setting of general C*algebras as the noncommutative
counterpart of continuous function algebras on compact spaces, is presented
in a slightly modified and improved form. This includes both a survey of
earlier results with some important corrections, and also new general results
in response to (and inspired by) a more recent counterproposal for a
noncommutative topological entropy by K. Thomsen. Finally, some partially
new examples for the calculation of the defined topological entropy are
shown. The rather selfevident physical interpretation in the framework of
(operatoralgebraic) quantum statistical mechanics and of ``chaotic'' quantum
dynamical systems is briefly touched upon.
 Files:
9493.tex