Department of Mathematical Sciences, Faculty of Science, Ryukyu University, Nishi- hara-cho, Okinawa 903-0213, Japan ; Department of Mathematics, Ritsumeikan University, Kusatsu, Shiga, 525-8577, Japan
Abstract:
A -algebra is said to have the FS-property if the set of all self-adjoint elements in has a dense subset of elements with finite spectrum. We shall show that this property is not stable under taking the minimal -tensor products even in case of separable nuclear -algebras.