Proceedings of the American Mathematical Society

Author(s): William Arveson; Dennis Courtney
Journal: Proc. Amer. Math. Soc. 136 (2008), 2073-2079.
MSC (2000): Primary 46L55, 46L40
Posted: February 14, 2008
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Abstract: Normal endomorphisms of von Neumann algebras need not be extendable to automorphisms of a larger von Neumann algebra, but they always have asymptotic lifts. We describe the structure of endomorphisms and their asymptotic lifts in some detail, and apply those results to complete the identification of asymptotic lifts of unital completely positive linear maps on von Neumann algebras in terms of their minimal dilations to endomorphisms.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46L55, 46L40

William Arveson
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
Email: arveson@math.berkeley.edu

Dennis Courtney
Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
Email: djc@math.berkeley.edu

DOI: 10.1090/S0002-9939-08-09186-7
PII: S 0002-9939(08)09186-7
Received by editor(s): March 5, 2007
Posted: February 14, 2008
Communicated by: Marius Junge
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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