Encyclopaedia of Mathematical Sciences Operator Algebras and Non-Commutative Geometry

Operator Algebras

Theory of C*-Algebras and von Neumann Algebras

Authors: Blackadar, Bruce

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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.

Reviews

From the reviews:

"The volume under review is supposed to cover basics on operator algebras … . Blackadar’s book is very well written and pleasant to read. It is especially suited to readers who already know the basics of operator algebras but who need a reference for some result or who wish to have a unified approach to topics treated by them." (Paul Jolissaint, Mathematical Reviews, Issue 2006 k)

"This volume is an important and useful contribution to the literature on C*-algebras and von Neumann algebras. … The book is extremely well written. It can be recommended as a reference to graduate students working in operator algebra theory and to other mathematicians who want to bring themselves up-to-date on the subject." (V. M. Manuilov, Zentralblatt MATH, Vol. 1092 (18), 2006)


Table of contents (5 chapters)

Table of contents (5 chapters)
  • Operators on Hilbert Space

    Pages 1-49

    Blackadar, Bruce

  • C

    Pages 51-219

    Blackadar, Bruce

  • Von Neumann Algebras

    Pages 221-322

    Blackadar, Bruce

  • Further Structure

    Pages 223-394

    Blackadar, Bruce

  • K

    Pages 395-477

    Blackadar, Bruce

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-3-540-28517-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 176,79 €
price for Spain (gross)
  • ISBN 978-3-540-28486-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 124,79 €
price for Spain (gross)
  • ISBN 978-3-642-06673-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Operator Algebras
Book Subtitle
Theory of C*-Algebras and von Neumann Algebras
Authors
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
122
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-28517-5
DOI
10.1007/3-540-28517-2
Hardcover ISBN
978-3-540-28486-4
Softcover ISBN
978-3-642-06673-3
Series ISSN
0938-0396
Edition Number
1
Number of Pages
XX, 528
Topics