Robustness of Topological Phases on Aperiodic Lattices
Abstract
We study the robustness of topological phases on aperiodic lattices by constructing *-homomorphisms from the groupoid model to the coarse-geometric model of observable C*-algebras. These *-homomorphisms induce maps in K-theory and Kasparov theory. We show that the strong topological phases in the groupoid model are detected by position spectral triples. We show that topological phases coming from stacking along another Delone set are always weak in the coarse-geometric sense.
Fields of Study & Subjects
Quasicrystal Structures and Properties
Quantum many-body systems
Advanced Operator Algebra Research
Publication details
- Journal / source
- Mathematical Physics Analysis and Geometry
- Publisher
- Springer Science and Business Media LLC
- Volume
- 29
- Issue
- 2
- Pages
- 16–16
- Publication date
- 16 March 2026
- Language
- EN