148 citations · 677 across the 41 of their papers we have counts for
43 papers
Almost automorphic and bijective factors of substitution shifts
Alvaro Bustos-Gajardo, Johannes Kellendonk, Reem Yassawi
In this article we completely characterise constant length substitution shifts which have an almost automorphic factor, or which have a bijective substitution factor. Our approach…
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…
Tame or wild Toeplitz shifts
Gabriel Fuhrmann, Johannes Kellendonk, Reem Yassawi
We investigate tameness of Toeplitz shifts. By introducing the notion of extended Bratteli-Vershik diagrams, we show that such shifts with finite Toeplitz rank are tame if and only…
Complete regularity of Ellis semigroups of -actions
Marcy Barge, Johannes Kellendonk
It is shown that the Ellis semigroup of a -action on a compact totally disconnected space is completely regular if and only if forward proximality coincides with forward…
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…
The Ellis semigroup of bijective substitutions
Johannes Kellendonk, Reem Yassawi
For topological dynamical systems with abelian group which admit an equicontinuous factor the Ellis semigroup is an extension of by…