Delocalised traces on Hecke algebras of right-angled, hyperbolic type
Operator Algebras
2026-03-25 v3 Group Theory
K-Theory and Homology
Abstract
For every Hecke C*-algebra of right-angled, hyperbolic type, we construct a smooth subalgebra to which traces associated with arbitrary conjugacy classes in the associated Coxeter group extend. We calculate the pairing with K-theory of the delocalised traces arising this way, showing that it is faithful on K-theory.
Cite
@article{arxiv.2511.22164,
title = {Delocalised traces on Hecke algebras of right-angled, hyperbolic type},
author = {Piotr Nowak and Sanaz Pooya and Sven Raum and Adam Skalski},
journal= {arXiv preprint arXiv:2511.22164},
year = {2026}
}
Comments
v3: minor improvements v2: minor improvements of the presentation; journal submitted version