Operator Algebras

Theory of C★-Algebras and von Neumann Algebras

  • Bruce Blackadar

Part of the Encyclopaedia of Mathematical Sciences book series (volume 122)

Table of contents

  1. Front Matter
    Pages I-XX
  2. Bruce Blackadar
    Pages 1-49
  3. Bruce Blackadar
    Pages 51-219
  4. Bruce Blackadar
    Pages 221-322
  5. Bruce Blackadar
    Pages 223-394
  6. Bruce Blackadar
    Pages 395-477
  7. Back Matter
    Pages 479-517

About this book


This volume attempts to give a comprehensive discussion of the theory of operator algebras (C*-algebras and von Neumann algebras. ) The volume is intended to serve two purposes: to record the standard theory in the Encyc- pedia of Mathematics, and to serve as an introduction and standard reference for the specialized volumes in the series on current research topics in the subject. Since there are already numerous excellent treatises on various aspects of thesubject,howdoesthisvolumemakeasigni?cantadditiontotheliterature, and how does it di?er from the other books in the subject? In short, why another book on operator algebras? The answer lies partly in the ?rst paragraph above. More importantly, no other single reference covers all or even almost all of the material in this volume. I have tried to cover all of the main aspects of “standard” or “clas- cal” operator algebra theory; the goal has been to be, well, encyclopedic. Of course, in a subject as vast as this one, authors must make highly subjective judgments as to what to include and what to omit, as well as what level of detail to include, and I have been guided as much by my own interests and prejudices as by the needs of the authors of the more specialized volumes.


Algebra C*-algebras Hilbert space K-theory Volume non-commutative topology operator algebras von Neumann-algebras

Authors and affiliations

  • Bruce Blackadar
    • 1
  1. 1.Department of MathematicsUniversity of NevadaRenoUSA

Bibliographic information