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: Lifting solutions to perturbing problems in C*-algebras
  name:
    name part: Loring, Terry A.
    name part: 1959-
    role:
      role term: creator
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: riu
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: ix, 165 pages : illustrations ; 26 cm.
  abstract: The techniques of universal algebra are applied to the category of C*-algebras. An important difference, central to this book, is that one can consider approximate representations of relations and approximately commuting diagrams. Moreover, the highly algebraic approach does not exclude applications to very geometric C*-algebras. K-theory is avoided, but universal properties and stability properties of specific C*-algebras that have applications to K-theory are considered. Index theory arises naturally, and very concretely, as an obstruction to stability for almost commuting matrices. Multiplier algebras are studied in detail, both in the setting of rings and of C*-algebras. Recent results about extensions of C*-algebras are discussed, including a result linking amalgamated products with the Busby/Hochshild theory.
  table of contents: Ch. 0. Introduction -- Ch. 1. [sigma]-Unital C*-Algebras -- Ch. 2. Order and Factoring -- Ch. 3. Generators and Relations -- Ch. 4. Basic Perturbation -- Ch. 5. Push-Outs and Pull-Backs -- Ch. 6. Matrix algebras -- Ch. 7. Multipliers -- Ch. 8. Easy Lifting -- Ch. 9. Multiplier Algebras -- Ch. 10. Projectivity -- Ch. 11. Properties of Projective C*-Algebras -- Ch. 12. Heavy Lifting -- Ch. 13. Inductive Limits -- Ch. 14. Stable Relations -- Ch. 15. Applications -- Ch. 16. Extensions -- Ch. 17. Normals, Limits -- Ch. 18. Almost Normal Elements -- Ch. 19. Almost Normal Matrices.
  note: Terry A. Loring.
  note: Includes bibliographical references (pages 157-164) and index.
  note: At head of title: The Fields Institute for Research in Mathematical Sciences.
  subject:
    topic: C*-algebras
  subject:
    topic: C*-algèbres
  subject:
    topic: C*-algebras
  subject:
    topic: C*-algebras
  subject:
    topic: C*-algèbres
  classification: QA326 .L67 1997
  classification: 512/.55
  classification: PC 54
  related item:
    title info:
      title: Fields Institute monographs ; 8
  identifier: 0821806025
  identifier: 9780821806029
  identifier: 96043189
  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 960828
    record change date: 20240808153242.5
    record identifier: in00004815282
    language of cataloging:
      language term: eng