Toeplitz exactness for strong convergence
Operator Algebras
2026-04-23 v3 Functional Analysis
Group Theory
Abstract
We prove a new "Toeplitz exactness" theorem for strong convergence. This is a machine to upgrade strong convergence in the general setting of -correspondences, and has several applications.
Cite
@article{arxiv.2604.14106,
title = {Toeplitz exactness for strong convergence},
author = {David Gao and Srivatsav Kunnawalkam Elayavalli},
journal= {arXiv preprint arXiv:2604.14106},
year = {2026}
}
Comments
14 pages. Comments welcome. v2: Minor changes in the Introduction and fixed a minor typo in the proof of Theorem 1.1. v3: Removed v2 Corollary 1.4, as we will expand on it in an upcoming work with applications; added acknowledgement of Brin Center; font size changed to 11 pt to avoid the paper being 13 pages, which is the second author's unlucky number