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50 Open Problems: Ultraproduct II factors
Srivatsav Kunnawalkam Elayavalli
A collection of 50 open problems around the structure theory of ultraproducts of II factors is presented, along with some annotations and references.
Selfless Inclusions of C*-Algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the s…
Some remarks on decay in countable groups and amalgamated free products
Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, Lizzy Teryoshin
In this note, we first study the notion of subexponential decay (SD) for countable groups with respect to a length function, which generalizes the well-known rapid decay (RD) prope…
Selfless reduced free product -algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Leonel Robert
We study selflessness in the general setting of reduced free products of -algebras. Towards this end, we develop a suitable theory of rapid decay for filtrations in arbitrary…
Negative resolution to the -algebraic Tarski problem
Srivatsav Kunnawalkam Elayavalli, Christopher Schafhauser
We compute the -group of ultraproducts of unital, simple -algebras with unique trace and strict comparison. As an application, we prove that the reduced free group -…
3-handle construction on II factors
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell
We find a subtle modification to the construction of Chifan-Ioana-Kunnawalkam Elayavalli, which yields a drastic simplification of the proof of the existence of two non Gamma non e…