Christopher J. Eagle

activity

20232026

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4 papers · 1 filter

math.LO2026

The computable functional calculus

Christopher J. Eagle, Timothy H. McNicholl

We show that the continuous functional calculus is computable. As consequences we obtain the computable compactness of the spectrum of any computable normal element of a computably…

math.LO2025

Computable $K$ -theory for $C^{*}$ -algebras: UHF algebras

Christopher Eagle, Isaac Goldbring, Timothy McNicholl +1

We initiate the study of the effective content of $K$ -theory for $C^{*}$ -algebras. We prove that there are computable functors which associate, to a computably enumerable pr…

math.LO2024

Computable Gelfand Duality

Peter Burton, Christopher J. Eagle, Alec Fox +5

We establish a computable version of Gelfand Duality. Under this computable duality, computably compact presentations of metrizable spaces uniformly effectively correspond to compu…

math.LO2023

$K$ -theory of co-existentially closed continua

Christopher J. Eagle, Joshua Lau

We describe the possible values of $K$ -theory for $C (X)$ when $X$ is a co-existentially closed continuum. As a consequence we also show that all pseudo-solenoids, except perhaps th…

The computable functional calculus

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

Computable Gelfand Duality

K-theory of co-existentially closed continua

Computable $K$ -theory for $C^{*}$ -algebras: UHF algebras

$K$ -theory of co-existentially closed continua