148 citations · 677 across the 41 of their papers we have counts for
4 papers · 1 filter
The Cayley transform in complex, real and graded -theory
Chris Bourne, Johannes Kellendonk, Adam Rennie
We use the Cayley transform to provide an explicit isomorphism at the level of cycles from van Daele -theory to -theory for graded -algebras with a real structure. Isom…
Cyclic cohomology for graded -algebras and its pairings with van Daele -theory
Johannes Kellendonk
We consider cycles for graded -algebras (Real -algebras) which are compatible with the -structure and the real structure. Their characters are cyclic cocycles. W…
On the C*-algebraic approach to topological phases for insulators
Johannes Kellendonk
The notion of a topological phase of an insulator is based on the concept of homotopy between Hamiltonians. It therefore depends on the choice of a topological space to which the H…
Integral cohomology of rational projection method patterns
Franz Gaehler, John Hunton, Johannes Kellendonk
We study the cohomology and hence -theory of the aperiodic tilings formed by the so called 'cut and project' method, i.e., patterns in dimensional Euclidean space which aris…