rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Combinatorial Set Theory of C*-algebras
  name:
    name part: Farah, Ilijas.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXX, 517 p. 28 illus. online resource.
  abstract: 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.
  table of contents: 1. C*-algebras, Abstract and Concrete -- 2. Examples and Constructions of C*-algebras -- 3. Representations of C*-algebras -- 4. Tracial States and Representations of C*-algebras -- 5. Irreducible Representations of C*-algebras -- Part II Set Theory and Nonseparable C*-algebras -- 6. Infinitary Combinatorics, I -- 7. Infinitary Combinatorics, II: The Metric Case -- 8. Additional Set-Theoretic Axioms -- 9. Set Theory and Quotients -- 10. Constructions of Nonseparable C*-algebras, I: Graph CCR Algebras -- 11. Constructions of Nonseparable C*-algebras, II -- Part III Massive Quotient C*-algebras -- 12. The Calkin Algebra -- 13. Multiplier Algebras and Coronas -- 14. Gaps and Incompactness -- 15. Degree-1 Saturation -- 16. Full Saturation -- 17. Automorphisms of Massive Quotient C*-Algebras.-Part IV Appendices -- A. Axiomatic Set Theory -- B. Descriptive Set Theory -- C. Functional Analysis -- D. Model Theory -- References -- Index -- List of Symbols.
  note: by Ilijas Farah.
  subject:
    topic: Mathematical logic
  subject:
    topic: Functional analysis
  subject:
    topic: Operator theory
  subject:
    topic: Associative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Functional Analysis
  subject:
    topic: Operator Theory
  subject:
    topic: Associative Rings and Algebras
  classification: QA8.9-10.3
  classification: 511.3
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Monographs in Mathematics
  identifier: 9783030270933
  identifier: https://doi.org/10.1007/978-3-030-27093-3
  record info:
    record creation date: 191224
    record change date: 20191224162807.0
    record identifier: 978-3-030-27093-3