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arXiv · 2511.22164

Delocalised traces on Hecke algebras of right-angled, hyperbolic type

Piotr Nowak·Sanaz Pooya·Sven Raum·Adam Skalski
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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.

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Piotr Nowak, Sanaz Pooya, Sven Raum, Adam Skalski. 2025-11-27. Delocalised traces on Hecke algebras of right-angled, hyperbolic type. https://arxiv.org/abs/2511.22164

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