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Independence in topological and C*-dynamics

David Kerr, Hanfeng Li

math.DSarXiv:math/0603585

Abstract

We develop a systematic approach to the study of independence in topological dynamics with an emphasis on combinatorial methods. One of our principal aims is to combinatorialize the local analysis of topological entropy and related mixing properties. We also reframe our theory of dynamical independence in terms of tensor products and thereby expand its scope to C*-dynamics.

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