Non-commutative entropy computations for continuous fields and cross-products
Calculs d’entropie non commutative pour des champs continus ou des produits croisés
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.