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Atomic representations of rank 2 graph algebras.

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Atomic representations of rank 2 graph algebras. / Davidson, Kenneth R.; Power, Stephen C.; Yang, Dilian.
In: Journal of Functional Analysis, Vol. 255, No. 4, 15.08.2008, p. 819-853.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Davidson, KR, Power, SC & Yang, D 2008, 'Atomic representations of rank 2 graph algebras.', Journal of Functional Analysis, vol. 255, no. 4, pp. 819-853. https://doi.org/10.1016/j.jfa.2008.05.008

APA

Davidson, K. R., Power, S. C., & Yang, D. (2008). Atomic representations of rank 2 graph algebras. Journal of Functional Analysis, 255(4), 819-853. https://doi.org/10.1016/j.jfa.2008.05.008

Vancouver

Davidson KR, Power SC, Yang D. Atomic representations of rank 2 graph algebras. Journal of Functional Analysis. 2008 Aug 15;255(4):819-853. doi: 10.1016/j.jfa.2008.05.008

Author

Davidson, Kenneth R. ; Power, Stephen C. ; Yang, Dilian. / Atomic representations of rank 2 graph algebras. In: Journal of Functional Analysis. 2008 ; Vol. 255, No. 4. pp. 819-853.

Bibtex

@article{e477388e243e4557b25b55644beb6f5e,
title = "Atomic representations of rank 2 graph algebras.",
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.",
keywords = "Higher rank graph, Atomic *-representation, Dilation",
author = "Davidson, {Kenneth R.} and Power, {Stephen C.} and Dilian Yang",
year = "2008",
month = aug,
day = "15",
doi = "10.1016/j.jfa.2008.05.008",
language = "English",
volume = "255",
pages = "819--853",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "4",

}

RIS

TY - JOUR

T1 - Atomic representations of rank 2 graph algebras.

AU - Davidson, Kenneth R.

AU - Power, Stephen C.

AU - Yang, Dilian

PY - 2008/8/15

Y1 - 2008/8/15

N2 - 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.

AB - 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.

KW - Higher rank graph

KW - Atomic -representation

KW - Dilation

U2 - 10.1016/j.jfa.2008.05.008

DO - 10.1016/j.jfa.2008.05.008

M3 - Journal article

VL - 255

SP - 819

EP - 853

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 4

ER -