coarse geometry 1equivariant index 1k-theory 1symmetry breaking 1topological insulators 1topological phases 1
From the 1 of 3 linked papers with an AI index.
3 papers
math-ph2026
Consistent symmetry breaking and topological phases
Yuezhao Li, Guo Chuan Thiang
The paper studies operators that are invariant under a symmetry group and shows that their equivariant indices must remain consistent when the symmetry is reduced to a finite‑index…
math.OA2026
Robustness of topological phases on aperiodic lattices
Yuezhao Li
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.…
math.KT2025
The odd spectral localiser via asymptotic morphisms and quasi-projections
Yuezhao Li, Bram Mesland
We describe the index pairing between an odd K-theory class and an odd unbounded Kasparov module by a pair of quasi-projections, supported on a submodule obtained from a finite spe…