Approximate Diagonalization of Unital Homomorphisms from AH-algebras to Simple $C^*$-algebras with Rational Tracial Rank at most One

Min Ro  (Shanghai Center for Mathematical Sciences)

10:00 am to 11:00 am, October 27th, 2015    Science Building A1510

Abstract:

We will consider the approximate diagonalization of homomorphisms from AH-algebras to C*-algebras of rational tracial rank one. Specifically, every homomorphism from a commutative C*-algebra to a C*-algebra of tracial rank one is approximately diagonalizable, but approximate diagonalization does not hold in general when we consider more general domains or codomains. We will look at special cases where approximate diagonalization does apply.