Decomposing the C*-algebras of groupoid extensions
Jonathan H. Brown, Astrid an Huef
TL;DR
This paper presents a method to decompose the C*-algebras of groupoid extensions into simpler components, aiding understanding and analysis of their structure.
Contribution
It introduces a decomposition technique for the C*-algebras of groupoid extensions into twisted groupoid C*-algebras, providing a new analytical tool.
Findings
Decomposition into twisted groupoid C*-algebras
Applicable to both full and reduced C*-algebras
Simplifies analysis of groupoid extension C*-algebras
Abstract
We decompose the full and reduced C*-algebras of an extension of a groupoid by the circle into a direct sum of twisted groupoid C*-algebras.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology