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Order-independence algebras

✍ Scribed by A. Oliveira


Book ID
105754728
Publisher
Springer
Year
1998
Tongue
English
Weight
235 KB
Volume
39
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES


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## Abstract It is shown that major independence conditions for left and right group operator algebras coincide. If Σ is a discrete ICC group, then the reduced left and right group algebras __W__^\*^~__λ__~(Σ) and __W__~__ϱ__~^\*^(Σ) are __W__^\*^‐independent. These algebras are moreover independent

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If Ä ¿ ! is a cardinal, a complete Boolean algebra B is called Ä-dependent if for each sequence b ÿ : ÿ ¡ Ä of elements of B there exists a partition of the unity, P, such that each p ∈ P extends b ÿ or b ÿ , for Ä-many ÿ ∈ Ä. The connection of this property with cardinal functions, distributivity l