Atomic Representations of Rank 2 Graph Algebras
Operator Algebras
2008-11-22 v2
Abstract
We provide a detailed analysis of atomic *-representations of rank 2 graphs on a single vertex. They are completely classified up to unitary equivalence, and decomposed into a direct sum or direct integral of irreducible atomic representations. The building blocks are described as the minimal *-dilations of defect free representations modelled on finite groups of rank 2.
Keywords
Cite
@article{arxiv.0705.4498,
title = {Atomic Representations of Rank 2 Graph Algebras},
author = {Kenneth R. Davidson and Stephen C. Power and Dilian Yang},
journal= {arXiv preprint arXiv:0705.4498},
year = {2008}
}