3 papers
math-ph2026
Consistent symmetry breaking and topological phases
Yuezhao Li, Guo Chuan Thiang
Operators invariant under a symmetry group are also invariant under any finite-index subgroup. The equivariant indices of such operators must be consistent under symmetry breaking.…
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…
math.OA2025
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.…