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 (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

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.

Mots clés: non-commutative dynamical entropy; cross-products; continuous fields

Domaines: Algèbres d'opérateurs [math.OA]

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⟩