Factoriality and Type Classification of k-Graph von Neumann Algebras
2016 ◽
Vol 60
(2)
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pp. 499-518
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Keyword(s):
AbstractLet be a single vertex k-graph and let be the von Neumann algebra induced from the Gelfand–Naimark–Segal (GNS) representation of a distinguished state ω of its k-graph C*-algebra . In this paper we prove the factoriality of , and furthermore determine its type when either has the little pullback property, or the intrinsic group of has rank 0. The key step to achieving this is to show that the fixed-point algebra of the modular action corresponding to ω has a unique tracial state.
1989 ◽
Vol 112
(1-2)
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pp. 71-112
1971 ◽
Vol 23
(4)
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pp. 598-607
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1995 ◽
Vol 07
(04)
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pp. 599-630
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Keyword(s):
2016 ◽
Vol 15
(06)
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pp. 1650079
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Keyword(s):
2008 ◽
Vol 19
(04)
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pp. 481-501
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2006 ◽
Vol 58
(4)
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pp. 768-795
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1988 ◽
Vol 45
(2)
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pp. 249-274