Linear Analysis Seminar

Date: September 11, 2015

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Kun Wang, Texas A&M University

Title: On Invariants of C*-algebras with the ideal property

Abstract: Early in 1991, George Elliott proved that for simple AI algebras, the pair of functors (K₀,T) is a complete isomorphic invariant. After that, successful classification results have been obtained for the AH algebras (which is more general) with slow dimension growth for cases of real rank zero and simple. The ideal property (each closed two-sided nontrivial ideal is generated by the projections inside the ideal) unifies and generalizes the above two cases. In my talk, I will show some classification results by using the Elliott Invariant (for some simple and real rank zero classes of C*-algebras) and Stevens' Invariant (for some classes with the ideal property). Then I will show that these two invariants are equivalent when we consider the C*-algebra with the ideal property.