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: Groupoids, Inverse Semigroups, and their Operator Algebras
  name:
    name part: Paterson, Alan L. T.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xvi, 274 pages)
  abstract: In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.
  note: by Alan L.T. Paterson.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Group theory
  subject:
    topic: Topological groups
  subject:
    topic: Operator theory
  subject:
    topic: Group theory
  subject:
    topic: Mathematics
  subject:
    topic: Operator theory
  subject:
    topic: Topological groups
  classification: QA174-183
  classification: 512.2
  related item:
    title info:
      title: Progress in Mathematics ; ; 170
  identifier: 9781461217749 (electronic bk.)
  identifier: 1461217741 (electronic bk.)
  identifier: 9781461272762
  identifier: 1461272769
  identifier: 1461217741
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260423141919.4
    record identifier: in00003561890
    language of cataloging:
      language term: eng