Back to Search
Start Over
Quasi-invariant lifts of completely positive maps for groupoid actions
- Publication Year :
- 2024
-
Abstract
- Let $G$ be a locally compact, $\sigma$-compact, Hausdorff groupoid and $A$ be a separable, $C_0(G^{(0)})$-nuclear, $G$-$C^*$-algebra. We prove the existence of quasi-invariant, completely positive and contractive lifts for equivariant, completely positive and contractive maps from $A$ into a separable, quotient $C^*$-algebra. Along the way, we construct the Busby invariant for $G$-actions.<br />Comment: Preliminary version
- Subjects :
- Mathematics - Operator Algebras
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.07859
- Document Type :
- Working Paper