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math.OA2021
Vanishing first cohomology and strong 1-boundedness for von Neumann algebras
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli
In this paper, we obtain a new proof result of Shlyakhtenko which states that if is a sofic, finitely presented group with vanishing first -Betti number, then is…
math.OA2021★ 2 cited
Property (T) and strong -boundedness for von Neumann algebras
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli
The notion of strong 1-boundedness for finite von Neumann algebras was introduced by Jung in arXiv:math/0510576 . This framework provided a free probabilistic approach to study rig…