Springer Monographs in Mathematics

Monotone Complete C*-algebras and Generic Dynamics

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

  • 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

Buy this book

eBook £53.99
price for United Kingdom (gross)
  • ISBN 978-1-4471-6775-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £67.99
price for United Kingdom (gross)
  • ISBN 978-1-4471-6773-0
  • 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.

Table of contents (8 chapters)

  • Introduction

    Saitô, Kazuyuki (et al.)

    Pages 1-6

  • Order Fundamentals

    Saitô, Kazuyuki (et al.)

    Pages 7-48

  • Classification and Invariants

    Saitô, Kazuyuki (et al.)

    Pages 49-61

  • Commutative Algebras: Constructions and Classifications

    Saitô, Kazuyuki (et al.)

    Pages 63-89

  • Convexity and Representations

    Saitô, Kazuyuki (et al.)

    Pages 91-140

Buy this book

eBook £53.99
price for United Kingdom (gross)
  • ISBN 978-1-4471-6775-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £67.99
price for United Kingdom (gross)
  • ISBN 978-1-4471-6773-0
  • 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
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XI, 257
Topics