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 0022-1236Full text not available from this repository.
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.
|Journal or Publication Title:||Journal of Functional Analysis|
|Uncontrolled Keywords:||Higher rank graph ; Atomic *-representation ; Dilation|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited By:||Professor Stephen C Power|
|Deposited On:||08 Jan 2008 09:13|
|Last Modified:||26 Jul 2012 18:27|
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