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Skew Commutators and Lie Isomorphisms in Real von Neumann Algebras

✍ Scribed by Shavkat A. Ayupov


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
612 KB
Volume
138
Category
Article
ISSN
0022-1236

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✦ Synopsis


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.