Colimits in the correspondence bicategory

Abstract

We interpret several constructions with C*-algebras as colimits in the bicategory of correspondences. This includes crossed products for actions of groups and crossed modules, Cuntz-Pimsner algebras of proper product systems, direct sums and inductive limits, and certain amalgamated free products.

Final version

Cited by in corpus (3)

• On ${\mathrm{C}}^{\ast }$-algebras associated to product systems
• On bicolimits of $C^{\ast }$-categories
• Permanence of the torsion-freeness property for divisible discrete quantum subgroups