The C^*-algebra of the Cartan motion groups

2019/01/24 by Regeiba, Hedi, Rahali, Aymen
#22D10 #22D25 #43A10 #43A20 #46L06 #46L45 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1901.08348

Abstract

Let G₀=K\ltimes\p be the Cartan motion groups. Under some assumption on G₀, we describe the C^*-algebra C^*(G₀) of G₀ in terms of operator fields.

Related

• Tensor products of NCDL-C*-algebras and the C*-algebra of the Heisenberg motion groups
• Cartan subalgebras in C*-algebras
• A Mackey embedding for reduced C*-algebras of real reductive groups
• The transformation groups whose C^*-algebras are Fell algebras
• The C*-algebra of the variable Mautner group