Nonuniqueness of the cardinality attached to homogeneous $AW^ \ast$-algebras
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- by Masanao Ozawa PDF
- Proc. Amer. Math. Soc. 93 (1985), 681-684 Request permission
Abstract:
It is proved that for any pair of infinite cardinal numbers $\alpha$ and $\beta$, there exists a homogeneous AW*-algebra that is both $\alpha$-homogenous and $\beta$-homogeneous. This negatively settles a long-standing unsolved problem of type I AW*-algebras.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 681-684
- MSC: Primary 46L10; Secondary 46L35
- DOI: https://doi.org/10.1090/S0002-9939-1985-0776202-3
- MathSciNet review: 776202