The C*-algebra of the semi-direct product K and A

2019/04/19 by Regeiba, Hedi, Ludwig, Jean
#FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Operator Algebras (math.OA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1904.09873

Abstract

Let G=K\ltimes A be the semi-direct product group of a compact group K acting on an abelian locally compact group A. We describe the C^*-algebra C^*(G) of G in terms of an algebra of operator fields defined over the spectrum of G , generalizing previous results obtained for some special classes of such groups.

Related

• Structure of the group of automorphisms of C^*-algebras
• Topological K-theory of the group C*-algebra of a semi-direct product Zⁿ rtimes Z/m for a free conjugation action
• C*-algebras associated with algebraic actions
• Crossed products of locally C*-algebras
• C*-crossed products by partial actions and actions of inverse semigroups