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

Kenneth E. Ekman
1976 Proceedings of the American Mathematical Society  
The group of unitaries in a real W*-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.
doi:10.1090/s0002-9939-1976-0454660-6 fatcat:6bc2v3wunbbnnesfnvti5v4r74