Total algebras and weak independence. II
β Scribed by Alfred L. Foster; Alden F. Pixley
- Publisher
- Springer-Verlag
- Year
- 1972
- Tongue
- French
- Weight
- 662 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract It is shown that major independence conditions for left and right group operator algebras coincide. If Ξ£ is a discrete ICC group, then the reduced left and right group algebras __W__^\*^~__Ξ»__~(Ξ£) and __W__~__Ο±__~^\*^(Ξ£) are __W__^\*^βindependent. These algebras are moreover independent
If Γ ΒΏ ! is a cardinal, a complete Boolean algebra B is called Γ-dependent if for each sequence b ΓΏ : ΓΏ Β‘ Γ of elements of B there exists a partition of the unity, P, such that each p β P extends b ΓΏ or b ΓΏ , for Γ-many ΓΏ β Γ. The connection of this property with cardinal functions, distributivity l