collaborators

7 papers

cs.CL2026

CLAIR-Fin: An Adversarial Multi-Agent Framework for Claim-Level Verification and Adaptive Debate in Cross-Modal Financial QA

Fatema Tuj Johora Faria, Mukaffi Bin Moin, Jubayer Al Mahmud +2

Existing defenses against hallucination in retrieval-augmented and multi-agent pipelines remain partial: evidence is trusted despite modality disagreement, debate verifies an aggre…

math.OA2026

Strict comparison holds in the uniform Roe algebra of a discrete amenable group

George A. Elliott, Chun Guang Li, Zhuang Niu +1

Let be a countable discrete amenable group, and let . It is shown that if are positive elements such that $$\mathrm{…

math.OA2026

The trace simplex of a noncommutative Villadsen algebra

George A. Elliott, Vincent M. Ruzicka

We construct a ``noncommutative'' Villadsen algebra and show that, given an extreme tracial state on its canonical AF subalgebra, the subset of consisting of those…

math.OA2025

On the small boundary property and -absorption

George A. Elliott, Zhuang Niu

We introduce Property (C) for a unital commutative sub-C*-algebra of a unital C*-algebra , which is a version of the relative comparison property using almost normalizers. I…

math.OA2025

Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function

George A. Elliott, Zhuang Niu

The authors' recent classification of Jesper Villadsen's remarkable generalization (based on a self-reproducing seed space) of Glimm's infinite tensor product (UHF) C*-algebras, by…

math.OA2025

The relative radius of comparison of the crossed product of a non-unital C*-algebra by a finite group

M. Ali Asadi-Vasfi, George A. Elliott

In this paper, we prove results on the relative radius of comparison of C*-algebras and their crossed products, focusing on the non-unital setting. More precisely, let be a sta…