MEASURABLE -SEMIGROUPS ARE CONTINUOUS
Keyword(s):
Let $G$ be a second countable locally compact Hausdorff topological group and $P$ be a closed subsemigroup of $G$ containing the identity element $e\in G$ . Assume that the interior of $P$ is dense in $P$ . Let $\unicode[STIX]{x1D6FC}=\{{\unicode[STIX]{x1D6FC}_{x}\}}_{x\in P}$ be a semigroup of unital normal $\ast$ -endomorphisms of a von Neumann algebra $M$ with separable predual satisfying a natural measurability hypothesis. We show that $\unicode[STIX]{x1D6FC}$ is an $E_{0}$ -semigroup over $P$ on $M$ .
2006 ◽
Vol 58
(4)
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pp. 768-795
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1973 ◽
Vol 74
(3)
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pp. 461-465
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1965 ◽
Vol 17
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pp. 604-615
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Keyword(s):
1981 ◽
Vol 33
(6)
◽
pp. 1469-1486
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1979 ◽
Vol 85
(2)
◽
pp. 271-280
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Keyword(s):