Entropy Theory for Cross Sections

Details Entropy Theory for Cross Sections Entropy Theory for Cross Sections

2006-09-11

arxiv.org/abs/math/0609273v3

Mathematics

Dynamical Systems

26 pages; v2 Main result is stated for groups with zero self-entropy, 34 pages; v3 final version. To be published at GAFA

Scientific paper

We define the notion of entropy for a cross section of an action of
continuous amenable group and relate it to the entropy of the ambient action.
As a result, we are able to answer a question of J.P. Thouvenot about
completely positive entropy actions.

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