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Completeness of invariant ideals in groups

✍ Scribed by T. Banakh; N. Lyaskovska

Publisher: Springer
Year: 2011
Tongue: English
Weight: 256 KB
Volume: 62
Category: Article
ISSN: 0041-5995
DOI: 10.1007/s11253-011-0423-1

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## Abstract Let __H__(__B,α__) be the JBW^\*^‐algebra of elements of a continuous W^\*^‐algebra __B__ invariant under the ^\*^‐anti‐automorphism α of __B__ of order two. Then the mapping __I__ → __I__ ∩ __H(B, α__) is an order isomorphism from the complete lattice of α‐invariant weak^\*^ closed inn