C*-algebras of endomorphisms of groups with finite cokernel and partial actions

2017/07/10 by Vieira, Felipe
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1707.03056

Abstract

In this paper we extend the constructions of Boava and Exel to present the C*-algebra associated with an injective endomorphism of a group with finite cokernel as a partial group algebra and consequently as a partial crossed product. With this representation we present another way to study such C*-algebras, only using tools from partial crossed products.

Related

• Universal C*-algebras of endomorphisms of groups and partial actions
• Crossed product of a C*-algebra by an endomorphism, coefficient algebras and transfer operators
• C*-algebras associated with algebraic actions
• Extensions of C*-algebras by partial isometries
• Characterisations of crossed products by partial actions