COCYCLE CONJUGACY OF ONE PARAMETER AUTOMORPHISM GROUPS OF AFD FACTORS OF TYPE III
2002 ◽
Vol 13
(06)
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pp. 579-603
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Keyword(s):
Type Iii
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We classify, up to cocycle conjugacy, one-parameter automorphism groups on an approximately finite dimensional (AFD) factor ℳ of type III with trivial Connes spectrum. Our goal is to find the complete cocycle conjugacy invariants for one-parameter automorphism groups on ℳ. We also study the relations between the flow of weights of ℳ and that of the crossed product ℳ ⋊α ℝ of ℳ by a one-parameter automorphism group α with Γ(α) = {0}. Moreover, we also study model realizations. "Model realizations" means that given certain commutative data, they can be realized as the complete cocycle conjugacy invariants of centrally free and centrally ergodic one-parameter automorphism groups on some properly infinite AFD von Neumann algebras.
1969 ◽
Vol 21
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pp. 1293-1308
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1989 ◽
Vol 112
(1-2)
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pp. 71-112
1975 ◽
Vol 81
(4)
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pp. 759-762
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1971 ◽
Vol 47
◽
pp. 982-985
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1972 ◽
Vol 25
(4)
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pp. 253-275
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1967 ◽
Vol 43
(3)
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pp. 198-201
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