3 papers
math.OA2026
Conformal transformations and equivariance in unbounded KK-theory
Ada Masters, Adam Rennie
We extend unbounded Kasparov theory to encompass conformal group and quantum group equivariance. This new framework allows us to treat conformal actions on both manifolds and nonco…
math.OA2024
Morphisms of Cuntz-Pimsner algebras from completely positive maps
Kevin Aguyar Brix, Alexander Mundey, Adam Rennie
We introduce positive correspondences as right C*-modules with left actions given by completely positive maps. Positive correspondences form a semi-category that contains the C*-co…
math-ph2024
Spectral flow and Levinson's theorem for Schrö dinger operators
Angus Alexander, Adam Rennie
We use spectral flow to present a new proof of Levinson's theorem for Schrödinger operators on with smooth compactly supported potential. Our proof is valid in all…