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

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

2001-03-06

arxiv.org/abs/math/0103039v2

Mathematics

Operator Algebras

16 pages, uses XY-pic

Scientific paper

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.

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