C^*-uniqueness Results for Groupoids

2020/05/13 by Are Austad, Austad, Are, Eduard Ortega +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2005.06208

openalex publication_date 2020/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a second-countable locally compact Hausdorff étale groupoid G with a continuous 2-cocycle σ we find conditions that guarantee that ℓ¹ (G,σ) has a unique C^*-norm.

Citations

• Étale groupoids and their C^*-algebras

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