Characterization of strict C*-algebras
Volume 112 / 1994
Studia Mathematica 112 (1994), 51-58
DOI: 10.4064/sm-112-1-51-58
Abstract
A Banach algebra A is called strict if the product morphism is continuous with respect to the weak norm in A ⊗ A. The following result is proved: A C*-algebra is strict if and only if all its irreducible representations are finite-dimensional and their dimensions are bounded.
