Remarks on the diagonal embedding and strong 1-boundedness
Operator Algebras
2023-03-27 v2 Group Theory
Abstract
We identify a large class of hyperbolic groups whose von Neumann algebras are not strongly 1-bounded: Sela's hyperbolic towers over subgroups. We also show that any intermediate subalgebra of the diagonal embedding of into its ultrapower doesn't have Property (T).
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Cite
@article{arxiv.2210.03783,
title = {Remarks on the diagonal embedding and strong 1-boundedness},
author = {Srivatsav Kunnawalkam Elayavalli},
journal= {arXiv preprint arXiv:2210.03783},
year = {2023}
}
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