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Atomic representations of rank 2 graph algebras.

Research output: Contribution to journalJournal articlepeer-review

<mark>Journal publication date</mark>15/08/2008
<mark>Journal</mark>Journal of Functional Analysis
Issue number4
Number of pages35
Pages (from-to)819-853
Publication StatusPublished
<mark>Original language</mark>English


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.