Effective subfactor theory

Fuente: arXiv
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Main Authors: Fox, Alec, Goldbring, Isaac
Format: Preprint
Published: 2024
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author Fox, Alec
Goldbring, Isaac
author_facet Fox, Alec
Goldbring, Isaac
contents We characterize when a subfactor $N\subseteq M$ is oracle computable relative to a presentation of the ambient factor $M$ in terms of computability of the Jones basic construction, in terms of computable Pismner-Popa bases, and in terms of computability of the conditional expectation map. We illustrate our main theorem with some examples.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18831
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Effective subfactor theory
Fox, Alec
Goldbring, Isaac
Logic
Operator Algebras
We characterize when a subfactor $N\subseteq M$ is oracle computable relative to a presentation of the ambient factor $M$ in terms of computability of the Jones basic construction, in terms of computable Pismner-Popa bases, and in terms of computability of the conditional expectation map. We illustrate our main theorem with some examples.
title Effective subfactor theory
topic Logic
Operator Algebras
url https://arxiv.org/abs/2409.18831