Unitaries and partial isometries in a real 𝑊*-algebra

Ekman, Kenneth E.

doi:10.1090/S0002-9939-1976-0454660-6

Unitaries and partial isometries in a real $W^*$-algebra
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by Kenneth E. Ekman PDF

Proc. Amer. Math. Soc. 54 (1976), 138-140 Request permission

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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