Classification theorems for the C*-algebras of graphs with sinks
Operator Algebras
2007-05-23 v2 Dynamical Systems
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 : G^0 -> N 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.
Keywords
Cite
@article{arxiv.math/0103039,
title = {Classification theorems for the C*-algebras of graphs with sinks},
author = {Iain Raeburn and Mark Tomforde and Dana P. Williams},
journal= {arXiv preprint arXiv:math/0103039},
year = {2007}
}
Comments
16 pages, uses XY-pic