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Journal Articles Annales Mathématiques Blaise Pascal Year : 2007

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

Calculs d’entropie non commutative pour des champs continus ou des produits croisés

Emmanuel Germain

Abstract

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.

Dates and versions

hal-01876550 , version 1 (18-09-2018)

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Emmanuel Germain. Non-commutative entropy computations for continuous fields and cross-products. Annales Mathématiques Blaise Pascal, 2007, 14 (1), pp.1 - 16. ⟨10.5802/ambp.223⟩. ⟨hal-01876550⟩
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