2000/02/10 by Sergey Neshveyev, Neshveyev, Sergey, Erling Stormer +1
Mathematics · #46L55 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L55
paper · pdf · doi:10.48550/arxiv.math/0002081
LaTeX2e, 7 pages
arxiv created 2000/02/10 · arxiv updated 2009/11/30
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.