Partial crossed products as equivalence relation algebras.

DOI10.1216/RMJ-2016-46-1-85zbMath1346.16022arXiv1306.3840OpenAlexW1559047676MaRDI QIDQ289700

Daniel Gonçalves, Viviane Maria Beuter

Publication date: 31 May 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3840

zbMATH Keywords

\(C^*\)-algebrasequivalence relation algebraspartial crossed products

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Twisted and skew group rings, crossed products (16S35)

Related Items (9)

The interplay between Steinberg algebras and skew rings ⋮ Leavitt path algebras of labelled graphs ⋮ KMS and ground states on ultragraph \( C^*\)-algebras ⋮ Recent developments around partial actions ⋮ Representations of relative Cohn path algebras ⋮ Description of partial actions ⋮ Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics ⋮ Free path groupoid grading on Leavitt path algebras ⋮ The dynamics of partial inverse semigroup actions

Cites Work

• Unnamed Item
• Unnamed Item
• On the K-theory of the stable C\(^{*}\)-algebras from substitution tilings
• On the representations of Leavitt path algebras.
• Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics.
• Strong associativity of a group algebra
• Partial actions and partial skew group rings.
• A groupoid approach to C*-algebras
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• \(K\)-theory for partial crossed products by discrete groups
• Uniqueness theorems and ideal structure for Leavitt path algebras
• Simplicity of Partial Skew Group Rings of Abelian Groups
• CLOSED AND PRIME IDEALS IN PARTIAL SKEW GROUP RINGS OF ABELIAN GROUPS
• Partial actions of groups and actions of inverse semigroups
• On partial actions and groupoids
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Simple group graded rings and maximal commutativity
• Envelope Algebras of Partial Actions as Groupoid C*-Algebras
• Simplicity of Skew Group Rings of Abelian Groups
• Leavitt Path Algebras as Partial Skew Group Rings

This page was built for publication: Partial crossed products as equivalence relation algebras.