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Invariant S, weights, and states on W*-algebras

โœ Scribed by V. N. Nosov

Publisher
Springer US
Year
1975
Tongue
English
Weight
141 KB
Volume
9
Category
Article
ISSN
0016-2663

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## Abstract Let __H__(__B,ฮฑ__) be the JBW^\*^โ€algebra of elements of a continuous W^\*^โ€algebra __B__ invariant under the ^\*^โ€antiโ€automorphism ฮฑ of __B__ of order two. Then the mapping __I__ โ†’ __I__ โˆฉ __H(B, ฮฑ__) is an order isomorphism from the complete lattice of ฮฑโ€invariant weak^\*^ closed inn