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math.OA2026
Strongly converging unitary representations for extensions by exact groups
David Gao, Srivatsav Kunnawalkam Elayavalli, Mahan Mj
We prove the existence of strongly converging unitary representations in various new settings of countable groups, in particular, arising as extensions by exact groups: semidirect…
math.OA2026
Non-isomorphism of reduced free group -algebras
David Gao, Srivatsav Kunnawalkam Elayavalli
Using a new approach involving embedding spaces in II factors with plenty of freely independent Haar unitaries, we prove that $C^\ast_r(\mathbb{F}_n)\ncong C^\ast_r(\mathbb{F}_…
math.OA2026
Exotic full factors via weakly coarse bimodules
David Gao, David Jekel, Srivatsav Kunnawalkam Elayavalli +1
We are able to explicitly compute the bimodule structure of von Neumann algebra inclusions in handle constructions, which arise as inductive limits of iterated amalgamated free pro…