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Non-commutative entropy computations for continuous fields and cross-products

Emmanuel Germain — 2007

Annales mathématiques Blaise Pascal

We present here two non-commutative situations where dynamical entropy estimates are possible. The first result is concerned with automorphisms of cross-products by an exact group that commute with the group action and generalizes the result known for amenable groups. The second is about continuous fields of C * -algebras and C ( X ) -automorphisms. Each result relies on explicit factorization via matrices.

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