Classification theorems for the C*-algebras of graphs with sinks

Authors

Iain Raeburn, University of WollongongFollow
Mark Tomforde, University of Iowa
Dana Williams, Dartmouth CollegeFollow

RIS ID

18854

Publication Details

Raeburn, I., Tomforde, M. & Williams, D. P. (2004). Classification theorems for the C*-algebras of graphs with sinks. Bulletin of the Australian Mathematical Society, 70 (1), 143-161.

Abstract

We consider graphs E which have been obtained by adding one or more sinks to a fixed directed graph G. We classify the C^*-algebra of E up to a very strong equivalence relation, which insists, loosely speaking, that C^*(G) is kept fixed. The main invariants are vectors W_E: G⁰ → which describe how the sinks are attached to G; more precisely, the invariants are the classes of the W_E in the cokernel of the map A – I, where A is the adjacency matrix of the graph G.