English

Finitely summable $\gamma$-elements for word-hyperbolic groups

K-Theory and Homology 2020-01-28 v1

Abstract

We present two explicit combinatorial constructions of finitely summable reduced "Gamma"-elements γrKK(Cr(Γ),C)\gamma_r\,\in\,KK(C^*_r(\Gamma),{\mathbb C}) for any word-hyperbolic group (Γ,S)(\Gamma,S) and obtain summability bounds for them in terms of the cardinality of the generating set SΓS\subset\Gamma and the hyperbolicity constant of the associated Cayley graph.

Keywords

Cite

@article{arxiv.2001.09979,
  title  = {Finitely summable $\gamma$-elements for word-hyperbolic groups},
  author = {Jean-Marie Cabrera and Michael Puschnigg},
  journal= {arXiv preprint arXiv:2001.09979},
  year   = {2020}
}

Comments

38 pages

R2 v1 2026-06-23T13:22:07.648Z