Springer Monographs in Mathematics

Monotone Complete C*-algebras and Generic Dynamics

Authors: Saitô, Kazuyuki, Wright, J.D.M.

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  • Unique in presenting the modern theory of monotone complete C*-algebras
     
    Gives a self-contained introduction to generic dynamics
     
    Explains the new classification theory introducing spectroids and classification semigroups

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eBook $89.00
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  • ISBN 978-1-4471-6775-4
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Hardcover $119.99
price for USA in USD
  • ISBN 978-1-4471-6773-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
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  • ISBN 978-1-4471-7388-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras.
Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much discovered but with many mysteries to unravel. This book is intended to encourage graduate students and working mathematicians to attack some of these difficult questions.
Each bounded, upward directed net of real numbers has a limit. Monotone complete algebras of operators have a similar property. In particular, every von Neumann algebra is monotone complete but the converse is false.
Written by major contributors to this field, Monotone Complete C*-algebras and Generic Dynamics takes readers from the basics to recent advances. The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras.

Reviews

“The monograph under review, written by two leading experts in the field, is an invaluable contribution to the study and dissemination of m.c. C*-algebras. It provides, in a historic perspective, an updated and thorough description of the recent research on this broad class of C*-algebras, highlighting its important connections with topology, logic, and ergodic theory. ... the present book is an excellent addition to the operator algebras literature, covering for the first time the two themes advertised in the title.” (Florin P. Boca, zbMATH 1382.46003, 2018)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4471-6775-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-1-4471-6773-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-1-4471-7388-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Monotone Complete C*-algebras and Generic Dynamics
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2015
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-6775-4
DOI
10.1007/978-1-4471-6775-4
Hardcover ISBN
978-1-4471-6773-0
Softcover ISBN
978-1-4471-7388-5
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XI, 257
Topics