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Baer *-rings: reprint of the 1972 edition with errata list and later developments indicated

A systematic exposition of Baer *-Rings, with emphasis on the ring-theoretic and lattice-theoretic foundations of von Neumann algebras. Equivalence of projections, decompositio into types; connections with AW*-algebras, *-regular rings, continuous geometries. Special topics include the theory of fin...

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Detalles Bibliográficos
Autor principal: Berberian, Sterling K
Lenguaje:eng
Publicado: Springer 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-15071-5
http://cds.cern.ch/record/1603849
Descripción
Sumario:A systematic exposition of Baer *-Rings, with emphasis on the ring-theoretic and lattice-theoretic foundations of von Neumann algebras. Equivalence of projections, decompositio into types; connections with AW*-algebras, *-regular rings, continuous geometries. Special topics include the theory of finite Baer *-rings (dimension theory, reduction theory, embedding in *-regular rings) and matrix rings over Baer *-rings. Written to be used as a textbook as well as a reference, the book includes more than 400 exercises, accompanied by notes, hints, and references to the literature. Errata and commen