Christopher J. Eagle

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20242026

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3 papers · 1 filter

math.OA2026

Non-computability of $K$ -theory for computably presented C*-algebras

Christopher J. Eagle, Isaac Goldbring, Timothy H. McNicholl +1

We give an example of a unital C*-algebra $A$ with a computable presentation and for which neither $K_{0} (A)$ nor $K_{1} (A)$ has a computable presentation.

math.OA2026

Computable $K$ -theory for C*-algebras II: AF algebras

Christopher J. Eagle, Isaac Goldbring, Timothy H. McNicholl

We continue the study of the effective content of $K$ -theory for C*-algebras, with a focus on AF algebras. We show that from a c.e. presentation of an AF algebra it is possible to…

math.OA2024

Relative topological principality and the ideal intersection property for groupoid C*-algebras

Chris J. Eagle, Gavin Goerke, Marcelo Laca

We introduce the notion of relative topological principality for a family ${H_{I^} \pm}$ of open subgroupoids of a Hausdorff Ã©tale groupoid $G$ . The C*-algebras $C_{r}^{*} (H_{I^} \pm)$ of the g…

Non-computability of K-theory for computably presented C*-algebras

Computable K-theory for C*-algebras II: AF algebras

Relative topological principality and the ideal intersection property for groupoid C*-algebras

Non-computability of $K$ -theory for computably presented C*-algebras

Computable $K$ -theory for C*-algebras II: AF algebras