Isaac Goldbring

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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.OA2025

On definability of C*-tensor norms

Isaac Goldbring, Thomas Sinclair

We initiate the study of definability (in the model-theoretic sense) of C*-tensor norms. We show that neither the minimal nor maximal tensor norms are definable uniformly over all…

math.OA2025

Totally Bounded Elements in W*-probability Spaces

Jananan Arulseelan, Isaac Goldbring, Bradd Hart +1

We introduce the notion of a totally ( $K$ -) bounded element of a W*-probability space $(M, I ¨ )$ and, borrowing ideas of Kadison, give an intrinsic characterization of the $^{*}$ -suba…

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

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

On definability of C*-tensor norms

Totally Bounded Elements in W*-probability Spaces

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

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