%0 Journal Article
%T Measure equivalence rigidity of the mapping class group
%A Yoshikata Kida
%J Mathematics
%D 2006
%I arXiv
%R 10.4007/annals.2010.171.1851
%X We show that the mapping class group of a compact orientable surface with higher complexity has the following extreme rigidity in the sense of measure equivalence: if the mapping class group is measure equivalent to a discrete group, then they are commensurable up to finite kernel. Moreover, we describe all lattice embeddings of the mapping class group into a locally compact second countable group. We also obtain similar results for finite direct products of mapping class groups.
%U http://arxiv.org/abs/math/0607600v1