#k-theory
7 papers · 1 filter
Nonnuclear Bunce-Deddens algebras
Jamie Bell
The paper defines and studies nonnuclear Bunce-Deddens C*-algebras built from free odometer actions of certain nonamenable groups, showing they have regularity properties and compu…
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…
A Riemann-Roch theorem for Frobenius quotients
Matthew Dupraz, Andreas Gross, Leonid Monin
The paper builds commutative Frobenius rings from shift and differential operator algebras to model K‑theory and Chow rings of smooth complete varieties, establishing combinatorial…
On the -theoretic logarithmic double ramification class
Kamyar Amini, You-Cheng Chou, Leo Herr +3
The paper defines a K‑theoretic version of the logarithmic double ramification class, proves a product formula and GLₙ(ℤ)‑invariance, and provides an explicit expression using Grot…
Weak topological phases in the presence of interactions
Omar AntolÃn Camarena, Arun Debray, Cameron Krulewski +3
The paper classifies weak symmetry‑protected topological phases in dimensions 0–3 under short‑range interactions, using homotopy‑theoretic methods to identify which phases remain s…
L-theory of -algebras
Markus Land, Thomas Nikolaus, Marco Schlichting
The paper derives a formula for the L-theory spectrum of real C*-algebras, relating L-groups to topological K-groups and connecting the Baum-Connes and Farrell-Jones conjectures vi…