Baer *-rings
By: [by] Sterling K. Berberian.
Series: Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen,; Bd. 195; Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ;; Bd. 195.
Publisher: Springer-Verlag
Published: 1972
Place of publication: Berlin; New York
Language: eng
Number of pages: 296
Subjects: Associative rings.; Von Neumann algebras.; Lattice theory.
Description: 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 comments from the author have been added at the end of the present reprint (2nd printing 2010).
Notes: Bibliography: p. [287]-292.