Author

Charles Fanning

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Preprint Sep 2026

The K-theory of uniform Roe algebras for coarse structures generated by finite-rank free abelian subgroups

For a uniformly locally finite coarse space $X$, the uniform Roe algebra $C_u^*(X)$ is the operator norm closure of the controlled operators on $\ell^2(X)$. The $K$-theory of uniform Roe algebras is known in asymptotic dimension zero, but it is not fully understood in higher dimensions. We compute $K_0(C_u^*(G,\mathcal...

Charles Fanning, M. Aktas · 0 citations

#graph neural networks Open access Sep 2026

Topology-aware GNNs under structural perturbations: Empirical robustness across domains

Results support a conditional empirical conclusion: combining structure, topology, and stability-oriented training can improve robustness under specified structural perturbations, with dataset-dependent accuracy–stability trade-offs rather than universal guarantees.

Jelena Losic, Charles Fanning · PLOS Complex Systems · 0 citations