Perspectivity in the projection lattice of an 𝐴𝑊*-algebra

Elliott, George A.

doi:10.1090/S0002-9939-1973-0310660-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

Journal: Proc. Amer. Math. Soc. 38 (1973), 367-368
DOI: https://doi.org/10.1090/S0002-9939-1973-0310660-5
MathSciNet review: 0310660