Entropy in type I algebras

Abstract

It is shown that if (M,phi,alpha) is a W*-dynamical system with M a type I von Neumann algebra then the entropy of alpha w.r.t. phi equals the entropy of the restriction of alpha to the center of M. If furthermore (N,psi,beta) is a W*-dynamical system with N injective then the entropy of the tensor product system is the sum of the entropies.

LaTeX2e, 7 pages

References in corpus (1)

• Entropy of automorphisms of II_1-factors arising from the dynamical systems theory

Cited by in corpus (4)

• Ergodic theory and maximal abelian subalgebras of the hyperfinite factor
• Dynamical entropy in Banach spaces
• Characterizing Type I C*-algebras via Entropy
• M$\ddot{o}$bius Disjointness for Exact C${}^{\ast }$ Algebras