Baer ∗-Rings

  • Sterling K. Berberian

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 195)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. General Theory

    1. Front Matter
      Pages 1-1
    2. Sterling K. Berberian
      Pages 55-83
  3. Structure Theory

    1. Front Matter
      Pages 85-85
    2. Sterling K. Berberian
      Pages 87-121
    3. Sterling K. Berberian
      Pages 122-135
    4. Sterling K. Berberian
      Pages 136-149
  4. Finite Rings

    1. Front Matter
      Pages 151-151
    2. Sterling K. Berberian
      Pages 153-185
    3. Sterling K. Berberian
      Pages 186-209
    4. Sterling K. Berberian
      Pages 210-247
    5. Sterling K. Berberian
      Pages 248-263
  5. Errata and Comments for Baer ∗-Rings

    1. Sterling K. Berberian
      Pages 299-301
  6. Back Matter
    Pages 264-298

About this book

Introduction

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).

Keywords

16P60, 16W10, 46L10 Algebra Baer *-rings algebra matrix ring

Authors and affiliations

  • Sterling K. Berberian
    • 1
  1. 1.The University of Texas at AustinAustinUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15071-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1972
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-05751-2
  • Online ISBN 978-3-642-15071-5
  • Series Print ISSN 0072-7830
  • About this book