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

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.
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Contributor : emmanuel germain Connect in order to contact the contributor
Submitted on : Tuesday, September 18, 2018 - 3:13:37 PM
Last modification on : Tuesday, October 19, 2021 - 11:33:54 PM

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



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