Projections in free product C*-algebras, II
Abstract
Let (A,phi) be the reduced free product of infinitely many pairs (Ai,phii) of C*-algebras with faithful states. Assume that the Ai are not too small, in a specific sense. It is shown that if phi is a trace then K0(A) is determined entirely by K0(phi). If, furthermore, the image of K0(phi) is dense in the reals then A has real rank zero. On the other hand, if phi is not a trace then A is simple and purely infinite.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.