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
Full text not available from this repository.Official URL: http://dx.doi.org/10.1016/j.jfa.2008.05.008
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: | Article |
|---|---|
| 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 |
| ID Code: | 887 |
| Deposited By: | Professor Stephen C Power |
| Deposited On: | 08 Jan 2008 09:13 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 18:27 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/887 |
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