74 citations · 652 across the 48 of their papers we have counts for
51 papers
Analytic index theory and spectral flow in real Hilbert -modules
Chris Bourne, Alan L. Carey, Koen van den Dungen +1
We consider the analytic index and spectral flow of Fredholm operators on Hilbert -modules. Our spaces and algebras are equipped with a real structure, so the analytic index a…
Analytic spectral flow formula for unitaries and Levinson's theorem
A. Alexander, A. Carey, G. Levitina +1
We prove an integral formula for the spectral flow of differentiable loops of unitaries of the form Schatten. Our formula is in terms of a regularised winding number, ex…
Splittings for C*-correspondences and strong shift equivalence
Kevin Aguyar Brix, Alexander Mundey, Adam Rennie
We present an extension of the notion of in-splits from symbolic dynamics to topological graphs and, more generally, to C*-correspondences. We demonstrate that in-splits provide ex…
Levinson's theorem as an index pairing
Angus Alexander, Adam Rennie
We build on work of Kellendonk, Richard, Tiedra de Aldecoa and others to show that the wave operators for Schrödinger scattering theory on generically have a particu…
The Friedrichs angle and alternating projections in Hilbert -modules
Bram Mesland, Adam Rennie
Let be a -algebra, a Hilbert -module over and a pair of complemented submodules. We prove the -module version of von Neumann's alter…
A Cuntz-Pimsner Model for the -algebra of a Graph of Groups
Alexander Mundey, Adam Rennie
We provide a Cuntz-Pimsner model for graph of groups -algebras. This allows us to compute the -theory of a range of examples and show that graph of groups -algebras ca…