Work

Functors between Kasparov categories from étale groupoid correspondences

Year: 2024

Type: article

Abstract: For an étale correspondence Ω:G→H of étale groupoids, we construct an induction functor IndΩ:KKH→KKG between equivariant Kasparov categories. We introduce the crossed product of an H-equivariant correspondence by Ω, and use this to build a natural transformation αΩ:K⁎(G⋉IndΩ−)⇒K⁎(H⋉−). When Ω is proper these constructions naturally sit above an induced map in K-theory K⁎(C⁎(G))→K⁎(C⁎(H)).

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2024.110623

Author: Alistair Miller

Institution: University of Southern Denmark

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,670