Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Perspectivity in the projection lattice of an $ AW\sp{\ast} $-algebra


Author: George A. Elliott
Journal: Proc. Amer. Math. Soc. 38 (1973), 367-368
DOI: https://doi.org/10.1090/S0002-9939-1973-0310660-5
MathSciNet review: 0310660
Full-text PDF Free Access

Abstract | References | Additional Information

Abstract: Perspectivity in the projection lattice of an $ A{W^ \ast }$-algebra is identical with unitary equivalence. This was established by Fillmore for $ {W^ \ast }$-algebras, and a refinement of his argument is given here.


References [Enhancements On Off] (What's this?)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0310660-5
Keywords: $ A{W^ \ast }$-algebra, perspectivity of projections, unitary equivalence
Article copyright: © Copyright 1973 American Mathematical Society