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Combinatorial Set Theory of C*-algebras

  • Ilijas Farah
Book

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xxx
  2. C∗-algebras

    1. Front Matter
      Pages 1-1
    2. Ilijas Farah
      Pages 3-46
    3. Ilijas Farah
      Pages 79-120
  3. Set Theory and Nonseparable C∗-algebras

    1. Front Matter
      Pages 175-175
    2. Ilijas Farah
      Pages 177-197
    3. Ilijas Farah
      Pages 217-239
    4. Ilijas Farah
      Pages 241-273
  4. Part III

    1. Front Matter
      Pages 311-311
    2. Ilijas Farah
      Pages 313-336
    3. Ilijas Farah
      Pages 337-348
    4. Ilijas Farah
      Pages 349-365
    5. Ilijas Farah
      Pages 367-392
    6. Ilijas Farah
      Pages 393-420
  5. Back Matter
    Pages 455-517

About this book

Introduction

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students.  A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.

Keywords

C*-algebras Calkin algebra combinatorial set theory corona algebras tracial states irreducible representations infinitary combinatorics set-theoretic axioms multiplier algebra automorphisms massive quotient axiomatic set theory Abelian C*-algebras Aacai descriptive set theory

Authors and affiliations

  • Ilijas Farah
    • 1
  1. 1.Department of Mathematics and StatisticsYork UniversityTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-27093-3
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-27091-9
  • Online ISBN 978-3-030-27093-3
  • Series Print ISSN 1439-7382
  • Series Online ISSN 2196-9922
  • Buy this book on publisher's site
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