English

Non-supramenable groups acting on locally compact spaces

Operator Algebras 2013-12-09 v3 Group Theory

Abstract

Supramenability of groups is characterised in terms of invariant measures on locally compact spaces. This opens the door to constructing interesting crossed product C*-algebras for non-supramenable groups. In particular, stable Kirchberg algebras in the UCT class are constructed using crossed products for both amenable and non-amenable groups.

Keywords

Cite

@article{arxiv.1305.5375,
  title  = {Non-supramenable groups acting on locally compact spaces},
  author = {Julian Kellerhals and Nicolas Monod and Mikael Rordam},
  journal= {arXiv preprint arXiv:1305.5375},
  year   = {2013}
}

Comments

Minor changes; to appear in Doc. Math

R2 v1 2026-06-22T00:21:13.500Z