2000 character limit reached
On C*-algebras which cannot be decomposed into tensor products with both factors infinite-dimensional (1412.3621v3)
Published 11 Dec 2014 in math.OA and math.FA
Abstract: We prove that C*-algebras which, as Banach spaces, are Grothendieck cannot be decomposed into a tensor product of two infinite-dimensional C*-algebras. By a result of Pfitzner, this class contains all von Neumann algebras and their norm-quotients. We thus complement a recent result of Ghasemi who established a similar conclusion for the class of SAW*-algebras.