148 citations · 677 across the 41 of their papers we have counts for
13 papers · 1 filter
Bragg spectrum, K-theory and Gap Labelling of aperiodic solids
Johannes Kellendonk
The diffraction spectrum of an aperiodic solid is related to the group of eigenvalues of the dynamical system associated with the solid. Those eigenvalues with continuous eigenfunc…
Bulk-boundary correspondance for Sturmian Kohmoto like models
Johannes Kellendonk, Emil Prodan
We consider one dimensional tight binding models on whose spatial structure is encoded by a Sturmian sequence . An example is the…
The -theoretic bulk-edge correspondence for topological insulators
Chris Bourne, Johannes Kellendonk, Adam Rennie
We study the application of Kasparov theory to topological insulator systems and the bulk-edge correspondence. We consider observable algebras as modelled by crossed products, wher…
Topological Bragg Peaks And How They Characterise Point Sets
Johannes Kellendonk
Bragg peaks in point set diffraction show up as eigenvalues of a dynamical system. Topological Bragg peaks arrise from topological eigenvalues and determine the torus parametrisati…
Levinson's theorem and higher degree traces for Aharonov-Bohm operators
J. Kellendonk, K. Pankrashkin, S. Richard
We study Levinson type theorems for the family of Aharonov-Bohm models from different perspectives. The first one is purely analytical involving the explicit calculation of the wav…
On the wave operators and Levinson's theorem for potential scattering in R^3
J. Kellendonk, S. Richard
The paper is a presentation of recent investigations on potential scattering in R^3. We advocate a new formula for the wave operators and deduce the various outcomes that follow fr…