Strong representations of the polycyclic inverse monoids: cycles and atoms.

DOI10.1007/s10998-012-9053-0zbMath1257.20060OpenAlexW2062731388MaRDI QIDQ2428648

Mark V. Lawson, David G. Jones

Publication date: 26 April 2012

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-012-9053-0

zbMATH Keywords

polycyclic inverse monoidsCuntz inverse semigroupsstrong representations

Mathematics Subject Classification ID

Combinatorics on words (68R15) General theory of (C^*)-algebras (46L05) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

The bicyclic semigroup as the quotient inverse semigroup by any gauge inverse submonoid ⋮ A half-factorial locally right Garside monoid and the inverse monoid of cofinite monotone partial bijections on \(\mathbb N^\ast\) ⋮ AF inverse monoids and the structure of countable MV-algebras ⋮ Decidability and independence of conjugacy problems in finitely presented monoids ⋮ On strong affine representations of the polycyclic monoids ⋮ Graph inverse semigroups: their characterization and completion. ⋮ Broken Möbius categories of \(Q_3\)-type and their split inverse semigroups ⋮ NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS ⋮ Ordered groupoid quotients and congruences on inverse semigroups ⋮ The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations ⋮ Möbius monoids and their connection to inverse monoids. ⋮ A correspondence between a class of monoids and self-similar group actions II ⋮ On topological McAlister semigroups ⋮ The Polycyclic Inverse Monoids and the Thompson Groups Revisited

Cites Work

• Branching laws for polynomial endomorphisms of Cuntz algebras arising from permutations
• A correspondence between a class of monoids and self-similar group actions. I.
• Primitive partial permutation representations of the polycyclic monoids and branching function systems.
• A groupoid approach to C*-algebras
• Simple \(C^*\)-algebras generated by isometries
• Groupoids, inverse semigroups, and their operator algebras
• Polynomial endomorphisms of the Cuntz algebras arising from permutations. I: General theory
• Orthogonal Completions of the Polycyclic Monoids
• A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY
• Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras
• On Groups that are Isomorphic with Every Subgroup of Finite Index and their Topology
• The Polycyclic MonoidsP_nand the Thompson GroupsV_n,1
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item