An introduction to hyperlinear and sofic groups
Abstract
This is an edited write-up of lecture notes of the 7-th Appalachian set theory workshop of the same title led by the first named author at the Cornell University on November 22, 2008. A draft version of the notes was prepared by the second named author. This presentation is largely complementary to the earlier survey by the first-named author (Hyperlinear and sofic groups: a brief guide, Bull. Symb. Logic 14 (2008), pp. 449-480; arXiv:0804.3968v8 [math.GR]).
Keywords
Cite
@article{arxiv.0911.4266,
title = {An introduction to hyperlinear and sofic groups},
author = {Vladimir G. Pestov and Aleksandra Kwiatkowska},
journal= {arXiv preprint arXiv:0911.4266},
year = {2013}
}
Comments
30 pages, 1 figure, latex 2e; a final revision for the volume "Appalachian Set Theory 2006-2009" (James Cummings and Ernest Schimmerling, eds.), to appear in the London Mathematical Society Lecture Notes Series, Cambridge University Press (2012). Compared to the previous version, a few references were added, and a misstated result by Osin and Thomas was corrected