Atomic representations of rank 2 graph algebras.

Davidson, Kenneth R. and Power, Stephen C. and Yang, Dilian (2008) Atomic representations of rank 2 graph algebras. Journal of Functional Analysis, 255 (4). pp. 819-853. ISSN 0022-1236

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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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Functional Analysis
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
887
Deposited On:
08 Jan 2008 09:13
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Nov 2020 11:36