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

Mark V. Lawson

doi:10.1007/s10998-009-10189-2

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

Mark V. Lawson

Research output: Contribution to journal › Article › peer-review

22 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 language	English
Pages (from-to)	189-207
Number of pages	19
Journal	Periodica Mathematica Hungarica
Volume	58
Issue number	2
DOIs	https://doi.org/10.1007/s10998-009-10189-2
Publication status	Published - Jun 2009

Keywords

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

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10.1007/s10998-009-10189-2

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AB - 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.

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

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Keywords

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