A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras I, fundamental results
Abstract
Description
We introduce a new class of C^*-algebras, which is a generalization of both graph algebras and homeomorphism C^*-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.
37 pages, some terminologies changed, for example, C^*-correspondences were called Hilbert C^*-bimodules and topological graphs were called continuous graphs
37 pages, some terminologies changed, for example, C^*-correspondences were called Hilbert C^*-bimodules and topological graphs were called continuous graphs