The Picard groups for unital inclusions of unital C^*-algebras

2017/12/27 by Kodaka, Kazunori
#46L05 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1712.09499

Abstract

We shall introduce the notion of the Picard group for an inclusion of C^*-algebras. We shall also study its basic properties and the relation between the Picard group for an inclusion of C^*-algebras and the ordinary Picard group. Furthermore, we shall give some examples of the Picard groups for unital inclusions of unital C^*-algebras.

Related

• The Picard groups of unital inclusions of unital C^*-algebras induced by involutive equivalence bimodules
• The generalized Picard groups for finite dimensional C^*-Hopf algebra coactions on unital C^*-algebras
• The Picard groups of inclusions of C^*-algebras induced by equivalence bimodules
• The group of unital C^*-extensions
• Fundamental group of simple C^*-algebras with unique trace