Home > Research > Publications & Outputs > Atomic representations of rank 2 graph algebras.
View graph of relations

Atomic representations of rank 2 graph algebras.

Research output: Contribution to journalJournal article

Published
Close
<mark>Journal publication date</mark>15/08/2008
<mark>Journal</mark>Journal of Functional Analysis
Issue number4
Volume255
Number of pages35
Pages (from-to)819-853
<mark>State</mark>Published
<mark>Original language</mark>English

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.