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Media type:
E-Article
Title:
Lifting Endomorphisms to Automorphisms
Contributor:
Arveson, William;
Courtney, Dennis
Published:
American Mathematical Society, 2008
Published in:
Proceedings of the American Mathematical Society, 136 (2008) 6, Seite 2073-2079
Language:
English
DOI:
10.1090/S0002-9939-08-09186-7
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
<p>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.</p>