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Representation of Skew-Hermitian Elements in von Neumann Algebras by Skew Commutators

โœ Scribed by Sh.A. Ayupov; N.A. Azamov

Book ID
110312595
Publisher
Springer US
Year
2001
Tongue
English
Weight
72 KB
Volume
35
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES

Skew Commutators and Lie Isomorphisms in
Skew Commutators and Lie Isomorphisms in Real von Neumann Algebras
โœ Shavkat A. Ayupov ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 612 KB

In this paper we study skew elements R k and their commutators in a real factor R, and prove that if R and S are real factors not of type I 1 and I 2 then derived Lie algebras [R k , R k ] and [S k , S k ] are isomorphic if and only if R and S are \*-isomorphic.