English

l2-Betti numbers of discrete and non-discrete groups

Algebraic Topology 2017-02-10 v2 Group Theory

Abstract

This survey is an extended version of a talk during the Arbeitsgemeinschaft on totally disconnected locally compact groups, held in Oberwolfach in October 2014. We explain the definition of l2-Betti numbers of locally compact groups -- both discrete and non-discrete. Specific topics include proportionality principle, dimension function, Petersen's definition for locally compact groups, examples.

Keywords

Cite

@article{arxiv.1509.05234,
  title  = {l2-Betti numbers of discrete and non-discrete groups},
  author = {Roman Sauer},
  journal= {arXiv preprint arXiv:1509.05234},
  year   = {2017}
}

Comments

updated reference list; minor changes in section in QI section