Equivalence of projections
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- by S. K. Berberian PDF
- Proc. Amer. Math. Soc. 33 (1972), 485-490 Request permission
Abstract:
Theorem: An $A{W^\ast }$-algebra is the ring generated by its projections if and only if it has no abelian summand. Corollary: Every equivalence in an $A{W^\ast }$-algebra may be implemented by a partial isometry in the ring generated by the projections of the algebra. The corollary is extended to certain finite Baer $\ast$-rings.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 485-490
- MSC: Primary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0295090-6
- MathSciNet review: 0295090