Functors between Kasparov categories from étale groupoid correspondences
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)).
Authors
- Alistair Miller (ORCID: https://orcid.org/0000-0002-7895-6323)
Institutions
- University of Southern Denmark (DK)
Publication Details
- Journal
- Journal of Functional Analysis
- Published
- 2024-08-13
- DOI
- https://doi.org/10.1016/j.jfa.2024.110623
- Citations
- 1
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.89
Funders
- European Commission
- Danmarks Frie Forskningsfond
- Danmarks Frie Forskningsfond
- Engineering and Physical Sciences Research Council
- European Research Council
- Horizon 2020
- H2020 European Research Council