Primitive partial permutation representations of the polycyclic monoids and branching function systems

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19 Citations (Scopus)

Abstract

We characterise the maximal proper closed inverse submonoids of the polycyclic inverse monoids, also known as Cuntz inverse semigroups, and so determine all their primitive partial permutation representations. We relate our results to the work of Kawamura on certain kinds of representations of the Cuntz C*-algebras and to the branching function systems of Bratteli and Jorgensen. © 2009 Akadémiai Kiadó.

Original languageEnglish
Pages (from-to)189-207
Number of pages19
JournalPeriodica Mathematica Hungarica
Volume58
Issue number2
DOIs
Publication statusPublished - Jun 2009

Keywords

  • Branching function systems
  • Cuntz inverse monoid
  • Partial permutation representations
  • Polycyclic inverse monoid

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