Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -