Partial group algebra with projections and relations

2018/08/03 by Royer, Danilo
#46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1808.01212

Abstract

We introduce the notion of the partial group algebra with projections and relations and show that this C*-algebra is a partial crossed product. Examples of partial group algebras with projections and relations are the Cuntz-Krieger algebras and the unitization of C*-algebras of directed graphs.

Related

• Self-Similar Graph C*-Algebras and Partial Crossed Products
• Partial dynamical systems and C*-algebras generated by partial isometries
• Partial Crossed Product Presentations For O_n and M_k(O_n) Using Amenable Groups
• Realising the C*-algebra of a higher-rank graph as an Exel crossed product
• Partial crossed product description of the C*-algebras associated with\n integral domains