Higher dimensional generalizations of the Thompson groups (Q2182286)

scientific article; zbMATH DE number 7203004

Language	Label	Description	Also known as
English	Higher dimensional generalizations of the Thompson groups	scientific article; zbMATH DE number 7203004

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instance of

scholarly article

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title

Higher dimensional generalizations of the Thompson groups (English)

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Advances in Mathematics

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publication date

23 May 2020

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full work available at URL

https://arxiv.org/abs/1909.13254

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zbMATH Keywords

Thompson-Higman groups

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higher rank graphs

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étale groupoids

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MaRDI profile type

Publication

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cites work

Some undecidability results for asynchronous transducers and the Brin-Thompson group $2V$

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Q4430300

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THE GROUPS OF RICHARD THOMPSON AND COMPLEXITY

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The word problem of the Brin-Thompson group is \textsf{coNP}-complete

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A family of non-isomorphism results.

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Higher dimensional Thompson groups.

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On the baker's map and the simplicity of the higher dimensional Thompson groups $nV$.

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On $C^\ast$-algebras associated to right LCM semigroups

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Metric properties of higher-dimensional Thompson's groups.

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Commensurating actions for groups of piecewise continuous transformations

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Periodicity in Rank 2 Graph Algebras

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Representations of higher rank graph algebras

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Isomorphisms of Brin-Higman-Thompson groups.

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Inverse semigroups and combinatorial $C^*$-algebras

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Higher-rank graph $C^*$-algebras: an inverse semigroup and groupoid approach

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An abstract characterization of Thompson's group $F$.

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The Brin-Thompson groups $sV$ are of the type $\text F_\infty$.

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GRAPH PRODUCTS OF RIGHT CANCELLATIVE MONOIDS

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Product systems over right-angled Artin semigroups

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Q5580926

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Presentations for the higher-dimensional Thompson groups $nV$.

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Graph inverse semigroups: their characterization and completion.

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Groups acting on products of trees, tiling systems and analytic $K$-theory

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Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V

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Higher rank graph $C^*$-algebras

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Q3853827

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Q4537454

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The Structure of 0-E-unitary inverse semigroups I: the monoid case

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Q4407426

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Orthogonal Completions of the Polycyclic Monoids

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The Polycyclic MonoidsPnand the Thompson GroupsVn,1

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A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY

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NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS

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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

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Pseudogroups and their étale groupoids.

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The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations

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Inverse Monoids With a Natural Semilattice Ordering

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ON AN ORDER-BASED CONSTRUCTION OF A TOPOLOGICAL GROUPOID FROM AN INVERSE SEMIGROUP

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Aperiodicity and cofinality for finitely aligned higher-rank graphs

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Bredon cohomological finiteness conditions for generalisations of Thompson groups.

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Topological full groups of one-sided shifts of finite type

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Free Inverse Semigroups

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Fundamental groupoids of $k$-graphs

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Classifying higher rank analytic Toeplitz algebras

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HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS

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The $C^*$-algebras of finitely aligned higher-rank graphs

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Cartan subalgebras in C*-algebras

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Simplicity of C*-algebras associated to higher-rank graphs

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Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras

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A construction which can be used to produce finitely presented infinite simple groups

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Groupoids and $C^*$-algebras for categories of paths

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Groupoids and C*-algebras for left cancellative small categories

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Refinement monoids, equidecomposability types, and Boolean inverse semigroups

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The interplay between $k$-graphs and the Yang-Baxter equation.

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Factoriality and Type Classification of k-Graph von Neumann Algebras

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AIM.2020.107191

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Sitelinks

Mathematics(1 entry)

mardi Publication:2182286