Tensor products of generalized B*-algebras

Generalized B*-algebras (shortly, GB*-algebras) are generalizations of C*-algebras and belong to the class of abstract unbounded operator algebras. These algebras have interesting applications in mathematical physics and this gives a strong impetus for studying them. To our knowledge, up to now, there is nothing in the literature about tensor products of GB*-algebras. For this reason, this paper is devoted to the investigation of this subject matter. © 2014 Elsevier Inc.