On some subalgebras of a von Neumann algebra crossed product

Solel, Baruch

doi:10.1090/S0002-9947-1984-0719671-0

On some subalgebras of a von Neumann algebra crossed product
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Trans. Amer. Math. Soc. 281 (1984), 297-308 Request permission

Abstract:

We study conditions for a nonselfadjoint subalgebra of a von Neumann crossed product $\mathcal {L}$ to be an algebra of analytic operators with respect to a flow on $\mathcal {L}$. We restrict ourselves to the case where $\mathcal {L}$ is constructed from a finite von Neumann algebra $M$ with a trace preserving $^{\ast }$-automorphism $\alpha$ that acts ergodically on the center of $M$.

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Les algèbres d’opérateurs dans l’espace Hilbertien

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