Correspondences between graph C*-algebras
- Resource Type
- Working Paper
- Authors
- Bentmann, Rasmus; Meyer, Ralf
- Source
- Subject
- Mathematics - Operator Algebras
Primary 46L35, Secondary 18E30, 19K35
- Language
We describe proper correspondences from graph C*-algebras to arbitrary C*-algebras by K-theoretic data. If the target C*-algebra is a graph C*-algebra as well, we may lift an isomorphism on a certain invariant to correspondences back and forth that are inverse to each other up to ideal-preserving homotopy. This implies a classification theorem for purely infinite graph C*-algebras up to stable isomorphism.
Comment: 30 pages; revision corrected a few typos and some small errors in {\S}9