COCYCLE PERTURBATION OF QUASIFREE ALGEBRAIC K-FLOW LEADS TO REQUIRED ASYMPTOTIC DYNAMICS OF ASSOCIATED COMPLETELY POSITIVE SEMIGROUP
2000 ◽
Vol 03
(02)
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pp. 237-246
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Keyword(s):
We study the quasifree algebraic K-flow τ on the hyperfinite factor ℳ with the expanding subfactor [Formula: see text] generated by representations π of the C*-algebra of the canonical anticommutation relations (CAR) [Formula: see text] over separable Hilbert space ℋ. The type of ℳ and [Formula: see text] can be II1 or IIIλ, 0<λ<1, depending on π. The K-flow τ is obtained by the quasifree lifting of one-parameter group ST consisting of shifts in ℋ with the discrete parameter T=Z or the continuous one T=R. We prove that acting on τ by a quasifree inner Markovian cocycle, one can get the required asymptotic behavior of the perturbed group restriction on [Formula: see text].
1999 ◽
Vol 10
(07)
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pp. 791-823
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1998 ◽
Vol 01
(04)
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pp. 599-609
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Keyword(s):
2003 ◽
Vol 200
(1)
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pp. 237-280
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Keyword(s):
1992 ◽
Vol 03
(02)
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pp. 185-204
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1968 ◽
Vol 32
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pp. 141-153
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2007 ◽
Vol 10
(02)
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pp. 261-276
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2004 ◽
Vol 15
(03)
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pp. 289-312
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1991 ◽
Vol 110
(1)
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pp. 143-145
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