Self-similar<i>k</i>-Graph C*-Algebras (Q5068181)

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scientific article; zbMATH DE number 7503556

Language	Label	Description	Also known as
English	Self-similar<i>k</i>-Graph C*-Algebras	scientific article; zbMATH DE number 7503556

Statements

scholarly article

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Self-similar<i>k</i>-Graph C*-Algebras (English)

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publication date

5 April 2022

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full work available at URL

https://arxiv.org/abs/1712.08194

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zbMATH Keywords

self-similar action

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Cuntz-Pimsner algebra

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product system

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MaRDI profile type

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Product systems over Ore monoids

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Ideal structure and pure infiniteness of ample groupoid -algebras

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Simplicity of algebras associated to étale groupoids

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Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems

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Preferred traces on \(C^{\ast}\)-algebras of self-similar groupoids arising as fixed points

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AF-embeddability of 2-graph algebras and quasidiagonality of \(k\)-graph algebras

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Inverse semigroups and combinatorial \(C^*\)-algebras

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The tight groupoid of an inverse semigroup

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Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras

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Discrete product systems of Hilbert bimodules.

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Representations of Cuntz-Pimsner algebras

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Purely infinite and stable \(C^*\)-algebras of graphs and dynamical systems

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The Ideal Structures of Crossed Products of Cuntz Algebras by Quasi-Free Actions of Abelian Groups

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A class of \(C^{*}\)-algebras generalizing both graph algebras and homeomorphism \(C^{*}\)-algebras. IV: Pure infiniteness

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A construction of actions on Kirchberg algebras which induce given actions on their K-groups

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Higher rank graph \(C^*\)-algebras

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Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs

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Aperiodicity and cofinality for finitely aligned higher-rank graphs

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Boundary Quotient -algebras of Products of Odometers

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C*-algebras and self-similar groups

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The noncommutative geometry of graph \(C^*\)-algebras. I: The index theorem

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The noncommutative geometry of <i>k</i>-graph <i>C</i>*-algebras

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Unbounded quasitraces, stable finiteness and pure infiniteness

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A classification theorem for nuclear purely infinite simple \(C^*\)-algebras

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A dichotomy for groupoid -algebras

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A groupoid approach to C*-algebras

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Purely infinite \(C^{\ast}\)-algebras arising from crossed products

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The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor

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C*-algebras associated to product systems of Hilbert bimodules

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The Baum-Connes conjecture for amenable foliations

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IMRN. International Mathematics Research Notices

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1093/IMRN/RNZ146

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Sitelinks

Mathematics(1 entry)

mardi Publication:5068181

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