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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Derivations of $ AW\sp{\ast} $-algebras


Author: James C. Deel
Journal: Proc. Amer. Math. Soc. 42 (1974), 85-95
MSC: Primary 46L10
MathSciNet review: 0343050
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Abstract: It is proved that every derivation on an $ A{W^ \ast }$-algebra of type $ \mathrm{II}_1$ with central trace is inner. The proof employs a result on the algebraic decomposition of such algebras which is of interest even in the $ {W^ \ast }$ case.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0343050-0
PII: S 0002-9939(1974)0343050-0
Keywords: Derivations, $ A{W^ \ast }$-algebras, algebraic reduction theory
Article copyright: © Copyright 1974 American Mathematical Society