3 papers
math.OA2001
The Fine Structure of the Kasparov Groups III: Relative Quasidiagonality
Claude Schochet
In this paper we identify QD(A,B), the quasidiagonal classes in KK_1(A,B), in terms of K_*(A) and K_*(B), and we use these results in various applications. Here is our central resu…
math.OA2001
The Fine Structure of the Kasparov Groups II: topologizing the UCT
Claude Schochet
The Kasparov groups KK_*(A, B) have a natural structure as pseudopolonais groups. In this paper we analyze how this topology interacts with the terms of the Universal Coefficient T…
math.OA2001
Geometric realization and K-theoretic decomposition of C*-algebras
Claude Schochet
Suppose that A is a separable C*-algebra and that G_* is a (graded) subgroup of K_*(A). Then there is a natural short exact sequence 0 \to G_* \to K_*(A) \to K_*(A)/G_* \to 0. In t…