4 papers · 1 filter
Characters of surface groups
David Gao, Adrian Ioana, Itamar Vigdorovich
We initiate the study of characters of surface groups and their corresponding tracial representations. We show that any tracial representation can be approximated arbitrarily well…
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…
Soficity for group actions on sets and applications
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell
In this article we develop a notion of soficity for actions of countable groups on sets. We show two equivalent perspectives, several natural properties and examples. Notable examp…
All actions of LERF groups on sets are sofic
David Gao
In this paper, we shall prove that all actions of LERF groups on sets are sofic. As a corollary, we obtain that a large class of generalized wreath products are sofic.