%0 Journal Article
%T Sofic dimension for discrete measured groupoids
%A Ken Dykema
%A David Kerr
%A Mikael Pichot
%J Mathematics
%D 2011
%I arXiv
%X For discrete measured groupoids preserving a probability measure we introduce a notion of sofic dimension that measures the asymptotic growth of the number of sofic approximations on larger and larger finite sets. In the case of groups we give a formula for free products with amalgamation over an amenable subgroup. We also prove a free product formula for measure-preserving actions.
%U http://arxiv.org/abs/1111.2842v2