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June 15, 2026Transactions of the American Mathematical Society

Computable 𝐾-theory for C*-algebras: UHF algebras

Christopher Eagle Isaac Goldbring Timothy McNicholl Russell Miller

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Key Points

This research investigates the effective content of K-theory for C-algebras, specifically UHF algebras.
Developed computable functors linking computably enumerable presentations to abelian groups K0 and K1.
Analyzed the computably enumerable nature of the positive cone of K0 in the context of stably finite algebras.
Strengthened results regarding UHF algebras by demonstrating computable presentations of K0.
Positive cone of K0 is computably enumerable if A is stably finite.
K0 presentation is computable for UHF algebras, broadening effective K-theory insights.

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Implication

Examines computable functors in UHF algebras, indicating effective K-theory applications.

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Cite This Study

Eagle et al. (2026) studied this question.

synapsesocial.com/papers/6a323bf5d50b63ecad20644c https://doi.org/10.1090/tran/9651

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