Independence in topological and C*-dynamics

Details Independence in topological and C*-dynamics Independence in topological and C*-dynamics

2006-03-25

arxiv.org/abs/math/0603585v4

Mathematics

Dynamical Systems

54 pages; Definition 2.2 changed; to appear in Mathematische Annalen

Scientific paper

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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