Classification theorems for the C*-algebras of graphs with sinks
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 WE : G0 -> N which describe how the sinks are attached to G; more precisely, the invariants are the classes of the WE in the cokernel of the map A-I, where A is the adjacency matrix of the graph G.
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