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Proceedings of the American Mathematical Society

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Unitaries and partial isometries in a real $ W\sp*$-algebra


Author: Kenneth E. Ekman
Journal: Proc. Amer. Math. Soc. 54 (1976), 138-140
MSC: Primary 46L10
MathSciNet review: 0454660
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Abstract: The group of unitaries in a real $ {W^{\ast}}$-algebra without a finite type I direct summand is connected. This fact is used to characterize the components of the set of partial isometries in such algebras.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0454660-6
Article copyright: © Copyright 1976 American Mathematical Society