Groupoids and C-algebras for left cancellative small categories

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2 Scopus citations

Abstract

Categories of paths are a generalization of several kinds of oriented discrete data that have been used to construct C-algebras. The techniques introduced to study these constructions apply almost verbatim to the more general situation of left cancellative small categories. We develop this theory and derive the structure of the C-algebras in the most general situation. We analyze the regular representation, and the Wiener-Hopf algebra in the case of a subcategory of a groupoid.

Original languageEnglish (US)
Pages (from-to)1579-1626
Number of pages48
JournalIndiana University Mathematics Journal
Volume69
Issue number5
DOIs
StatePublished - 2020

Keywords

  • Cuntz-Krieger algebras
  • Groupoids
  • Left cancellative small categories
  • Monoids
  • Toeplitz algebras
  • Weiner-Hopf algebras

ASJC Scopus subject areas

  • Mathematics(all)

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