Weakly Nuclear Maps on Real $C^{\ast }$-algebras and Quasidiagonality of These Algebras

Abstract

In this paper, we show that a completely positive linear map is weakly nuclear if and only if its complexification is weakly nuclear. It is shown that a real $C^{\ast }$-algebra is exact if and only if its complexification is exact and similar case is provided for the quasidiaginality.

References in corpus (1)

• Quasidiagonality of crossed products