Equivalence of projections
نویسندگان
چکیده
منابع مشابه
Equivalence of Projections
Theorem: An AW*-algebra is the ring generated by its projections if and only if it has no abelian summand. Corollary: Every equivalence in an A W*-algebra may be implemented by a partial isometry in the ring generated by the projections of the algebra. The corollary is extended to certain finite Baer »-rings. An early proposition in the theory of von Neumann algebras is that every such algebra ...
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Projections play crucial roles in the ADHM construction on noncommutative R. In this article a framework for the description of equivalence relations between projections is proposed. We treat the equivalence of projections as gauge equivalence on noncommutative space. We find an interesting application of this framework to the study of U(2) instanton on noncommutative R: A zero winding number c...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1972-0295090-6