Invariant means on Boolean inverse monoids

DOI10.1007/s00233-015-9768-3zbMath1342.43003arXiv1503.03733OpenAlexW2156647691MaRDI QIDQ284646

Ganna Kudryavtseva, Pedro Resende, Mark V. Lawson, Daniel H. Lenz

Publication date: 18 May 2016

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

Full work available at URL: https://arxiv.org/abs/1503.03733

zbMATH Keywords

inverse semigroupspseudogroupsBanach-Tarski paradoxTarski alternative

Mathematics Subject Classification ID

Inverse semigroups (20M18) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (9)

Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids ⋮ AF inverse monoids and the structure of countable MV-algebras ⋮ Amenability of coarse spaces and \(\mathbb {K}\)-algebras ⋮ Varieties of Boolean inverse semigroups ⋮ Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras ⋮ Tarski monoids: Matui's spatial realization theorem ⋮ Non-commutative Stone duality ⋮ Recent developments in inverse semigroup theory ⋮ Morita equivalence of pseudogroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• AF inverse monoids and the structure of countable MV-algebras
• Cantor systems, piecewise translations and simple amenable groups
• Étale groupoids and their quantales
• Measures invariant under actions of \(F_ 2\)
• Sheaves as modules
• Un résultat de Tarski sur les actions moyennables de groupes et les partitions paradoxales. (A result of Tarski on amenable actions of groups and paradoxical decompositions)
• Minimally generated Boolean algebras
• A groupoid approach to C*-algebras
• Cohesive categories and manifolds
• Measure preserving pseudogroups and a theorem of Sacksteder
• Representations of the rook monoid.
• Refinement monoids, equidecomposability types, and Boolean inverse semigroups
• A perspective on non-commutative frame theory
• Pseudogroups and their étale groupoids.
• Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions
• Uniqueness theorems and ideal structure for Leavitt path algebras
• Extensions of amenable groups by recurrent groupoids
• Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids
• Dynamical systems of type and their -algebras
• Uniqueness of Invariant Means for Measure-Preserving Transformations
• A New Characterization of Amenable Groups
• Rectangular Invertible Matrices
• Moyennabilité des groupes dénombrables et actions sur les espaces de Cantor
• Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
• The Polycyclic MonoidsP_nand the Thompson GroupsV_n,1
• Cardinal Algebras and Measures Invariant under Equivalence Relations
• What is Measure?

This page was built for publication: Invariant means on Boolean inverse monoids