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math.GR2026
A new source of purely finite matricial fields
David Gao, Srivatsav Kunnawalkam Elayavalli, Aareyan Manzoor +1
A countable group is said to be \emph{matricial field} (MF) if it admits a strongly converging sequence of approximate homomorphisms into matrices; i.e, the norms of polynomial…
math.GR2025
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…
math.GR2024
Sofic actions on graphs
David Gao, Greg Patchell, Srivatsav Kunnawalkam Elayavalli
We develop a theory of soficity for actions on graphs and obtain new applications to the study of sofic groups. We establish various examples, stability and permanence properties o…