Exotic group C*-algebras

2014/03/20 by Matthew Wiersma, Wiersma, Matthew
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1403.5223

openalex publication_date 2014/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Γ be a discrete group. When Γ is nonamenable, the reduced and full group C*-algebras differ and it is generally believed that there should be many intermediate C*-algebras, however few examples are known. In this paper we give new constructions and compare existing constructions of intermediate group C*-algebras for both generic and specific groups Γ.

Citations

• Free group C^*-algebras associated with ℓ_p

Related

• On exotic group C*-algebras
• A family of exotic group C*-algebras
• Exotic group C*-algebras in noncommutative duality
• Semi-invertible extensions of C*-algebras
• Intermediate subalgebras for reduced crossed products of discrete groups