Huruya  has proven that, for C*-algebras A1and A2(A1⊗ A2)** = A1**⊗ A2** for every A2if and only if A1is scattered. We strengthen this by proving that (A1⊗ A2)** = A1**⊗ A2** if and only if A1or A2is scattered. We discuss ramifications to representation theory and related questions regarding normal representations of W*-tensor products.
ASJC Scopus subject areas
- Applied Mathematics