AF inverse monoids and the structure of countable MV-algebras
From MaRDI portal
Publication:308140
DOI10.1016/j.jpaa.2016.05.025zbMath1401.06012arXiv1408.1231OpenAlexW2270159884MaRDI QIDQ308140
Mark V. Lawson, Philip J. Scott
Publication date: 5 September 2016
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.1231
Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Inductive and projective limits in functional analysis (46M40) MV-algebras (06D35) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30)
Related Items
Invariant means on Boolean inverse monoids, 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, Inverse semigroups associated to subshifts, Varieties of Boolean inverse semigroups, Tarski monoids: Matui's spatial realization theorem, Higher dimensional generalizations of the Thompson groups via higher rank graphs, Non-commutative Stone duality, Coordinatizing some concrete MV algebras and a decomposition theorem, Germinal theories in Łukasiewicz logic, Groupoids on a skew lattice of objects, The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations, Recent developments in inverse semigroup theory, The Booleanization of an inverse semigroup, AF-algebras with lattice-ordered \(K_0\): logic and computation, The Polycyclic Inverse Monoids and the Thompson Groups Revisited
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant means on Boolean inverse monoids
- Effect algebras and unsharp quantum logics.
- A note on effect algebras and dimension theory of AF C\(^*\)-algebras
- Primitive partial permutation representations of the polycyclic monoids and branching function systems.
- On localizations and simple \(C^*\)-algebras
- Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
- Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
- A groupoid approach to C*-algebras
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Direct limits of symmetric and alternating groups with strictly diagonal embeddings
- Extending addition in Elliott's local semigroup
- Logic of infinite quantum systems
- Algebraic foundations of many-valued reasoning
- Representations of the rook monoid.
- Boolean algebras R-generated by MV-effect algebras
- On characters of inductive limits of symmetric groups.
- The dimension monoid of a lattice
- Refinement monoids, equidecomposability types, and Boolean inverse semigroups
- Strong representations of the polycyclic inverse monoids: cycles and atoms.
- Pseudogroups and their étale groupoids.
- Measures on Cantor sets: The good, the ugly, the bad
- Algebraic Analysis of Many Valued Logics
- Orthogonal Completions of the Polycyclic Monoids
- An AF Algebra Associated with the Farey Tessellation
- A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY
- THE REALIZATION PROBLEM FOR VON NEUMANN REGULAR RINGS
- The Partially Ordered Set of f -Classes of a Semigroup
- Iterated function systems and permutation representations of the Cuntz algebra
- Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
- NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS
- Good measures on Cantor space
- On classification of inductive limits of direct products of alternating groups
- The Polycyclic MonoidsPnand the Thompson GroupsVn,1
- Which Bernoulli measures are good measures?
- The complete dimension theory of partially ordered systems with equivalence and orthogonality
- Inductive Limits of Finite Dimensional C ∗ -Algebras
- Examples of Continuous Geometries
- Free Sums of Groups and Their Generalizations. An Analysis of the Associative Law
- Compactable semilattices
