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On commutative, operator amenable subalgebras of finite von Neumann algebras

โœ Scribed by Choi, Yemon


Book ID
120291843
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2013
Tongue
English
Weight
223 KB
Volume
2013
Category
Article
ISSN
0075-4102

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On Power-Bounded Operators in Finite von
โœ Gilles Cassier; Thierry Fack ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 717 KB

It is proved that any power-bounded operator of class C 1, } in a finite von Neumann algebra is conjugate to a unitary. This solves a conjecture stated by I. Kovacs in 1970. An important ingredient of the proof is the study of completely positive projections on some operator space.