Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592672 | Journal of Functional Analysis | 2008 | 35 Pages |
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.
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