4 papers
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…
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 d…
The structure of the wave operators in four dimensions in the presence of resonances
Angus Alexander, Adam Rennie
We show that the wave operators for Schrödinger scattering in have a particular form which depends on the existence of resonances. As a consequence of this form, we…
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…