arXiv · 2606.03757
Ulam stability for classes of nuclear C*-algebras
Abstract
We study Ulam stability for approximate *-homomorphisms of C*-algebras. We prove stability results for several classes of nuclear C*-algebras with respect to von Neumann algebra targets, including abelian C*-algebras and large classes arising in the Elliott classification program. We also discuss permanence properties, counterexamples, and related stability phenomena. As applications, we obtain rigidity and independence results for corona algebras.
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Vadim Alekseev, Ilijas Farah, Andreas Thom. 2026-06-02. Ulam stability for classes of nuclear C*-algebras. https://arxiv.org/abs/2606.03757
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