A correspondence between a class of monoids and self-similar group actions. I.

DOI10.1007/s00233-008-9052-xzbMath1156.20051OpenAlexW2112848918MaRDI QIDQ927289

Mark V. Lawson

Publication date: 4 June 2008

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-008-9052-x

zbMATH Keywords

finite automatafree monoidsZappa-Szép productsself-similar group actions

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Geometric group theory (20F65) Free semigroups, generators and relations, word problems (20M05) Dynamical aspects of cellular automata (37B15) Semigroups in automata theory, linguistics, etc. (20M35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Symbolic dynamics (37B10) Inverse semigroups (20M18) Groups acting on trees (20E08)

Related Items (20)

Zappa-Szép product groupoids and \(C^*\)-blends ⋮ Self-similar monoids related to Hahn groups ⋮ A GENERALISATION OF HIGHER-RANK GRAPHS ⋮ Prime \(L\)-algebras and right-angled Artin groups ⋮ Graph inverse semigroups: their characterization and completion. ⋮ On the simplicity of Nekrashevych algebras of contracting self-similar groups ⋮ Strong representations of the polycyclic inverse monoids: cycles and atoms. ⋮ A boundary quotient diagram for right LCM semigroups ⋮ Zappa-Szép products of semigroups and their \(C^\ast\)-algebras ⋮ A correspondence between a class of monoids and self-similar group actions. I. ⋮ Simplicity of inverse semigroup and étale groupoid algebras ⋮ Restriction semigroups and \(\lambda\)-Zappa-Szép products ⋮ NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS ⋮ Unnamed Item ⋮ Zappa-Szép products of bands and groups. ⋮ Obituary: David Rees 1918--2013 ⋮ On $C^*$-algebras associated to right LCM semigroups ⋮ A correspondence between a class of monoids and self-similar group actions II ⋮ The Polycyclic Inverse Monoids and the Thompson Groups Revisited ⋮ The boundary quotient for algebraic dynamical systems

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