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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on extensions of semigroups of $ *$-endomorphisms


Authors: William Arveson and Akitaka Kishimoto
Journal: Proc. Amer. Math. Soc. 116 (1992), 769-774
MSC: Primary 46L57
MathSciNet review: 1098393
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Abstract: We present a relatively elementary proof that every $ {E_0}$-semigroup acting on a type $ {I_\infty }$ factor can be extended to a one-parameter group of $ *$-automorphisms acting on a larger type $ {I_\infty }$ factor.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1098393-3
PII: S 0002-9939(1992)1098393-3
Keywords: von Neumann algebras, semigroups, automorphism groups
Article copyright: © Copyright 1992 American Mathematical Society