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Atomic representations of rank 2 graph algebras.

Research output: Contribution to journalJournal article

Published

Journal publication date15/08/2008
JournalJournal of Functional Analysis
Journal number4
Volume255
Number of pages35
Pages819-853
Original languageEnglish

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.