A note on extensions of semigroups of $*$-endomorphisms
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- by William Arveson and Akitaka Kishimoto
- Proc. Amer. Math. Soc. 116 (1992), 769-774
- DOI: https://doi.org/10.1090/S0002-9939-1992-1098393-3
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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.References
- William Arveson, On groups of automorphisms of operator algebras, J. Functional Analysis 15 (1974), 217–243. MR 0348518, DOI 10.1016/0022-1236(74)90034-2
- William Arveson, Continuous analogues of Fock space. IV. Essential states, Acta Math. 164 (1990), no. 3-4, 265–300. MR 1049159, DOI 10.1007/BF02392756
- Gert K. Pedersen, $C^{\ast }$-algebras and their automorphism groups, London Mathematical Society Monographs, vol. 14, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1979. MR 548006
- Robert T. Powers and Derek W. Robinson, An index for continuous semigroups of $*$-endomorphisms of ${\mathfrak {B}}({\mathfrak {H}})$, J. Funct. Anal. 84 (1989), no. 1, 85–96. MR 999489, DOI 10.1016/0022-1236(89)90111-0
Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 769-774
- MSC: Primary 46L57
- DOI: https://doi.org/10.1090/S0002-9939-1992-1098393-3
- MathSciNet review: 1098393