Isaac Goldbring

collaborators

4 papers

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 $(M, φ)$ and, borrowing ideas of Kadison, give an intrinsic characterization of the $^{*}$ -subal…

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

Computably strongly self-absorbing C*-algebras

Isaac Goldbring

We introduce the notion of a computably strongly self-absorbing C*-algebra and show that the following C*-algebras are computably strongly self-absorbing: the Cuntz algebras $\math…

math.LO2024

Undecidability and incompleteness in quantum information theory and operator algebras

Isaac Goldbring

We survey a number of incompleteness results in operator algebras stemming from the recent undecidability result in quantum complexity theory known as $\operatorname{MIP}^*=\operat…

Totally Bounded Elements in W*-probability Spaces

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

Computably strongly self-absorbing C*-algebras

Undecidability and incompleteness in quantum information theory and operator algebras

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