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Flow under a function
and discrete decomposition of properly infinite W∗-algebras
W. J. Phillips |
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Vol. 114 (1984), No. 1, 221–234
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Abstract |
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The purpose of this paper is to generalize the classical “flow under a function” construction to non-abelian W∗-algebras. That is, given an automorphism 𝜃 of a W∗-algebra N and a positive self-adjoint operator ϕ affiliated to the centre of N we show how to construct a continuous action α of the reals on a W∗-algebra M. The resulting covariant system {M,α,R} is called the flow built on {N,𝜃,Z} under the function ϕ. |
Mathematical Subject Classification 2000
Primary: 46L55
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Milestones
Received: 9 September 1981
Published: 1 September 1984
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Authors |
| W. J. Phillips | |
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