Perspectivity in the projection lattice of an $AW^{\ast }$-algebra
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- by George A. Elliott PDF
- Proc. Amer. Math. Soc. 38 (1973), 367-368 Request permission
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
- Peter A. Fillmore, Perspectivity in projection lattices, Proc. Amer. Math. Soc. 16 (1965), 383–387. MR 176347, DOI 10.1090/S0002-9939-1965-0176347-2
- Irving Kaplansky, Rings of operators, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR 0244778
- Irving Kaplansky, Algebras of type $\textrm {I}$, Ann. of Math. (2) 56 (1952), 460–472. MR 50182, DOI 10.2307/1969654
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 367-368
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310660-5
- MathSciNet review: 0310660