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

2025/11/27 by Piotr W. Nowak, Nowak, Piotr, Sanaz Pooya +5
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.2511.22164

openalex publication_date 2025/11/27 · openalex created_date 2025/12/03 · openalex updated_date 2026/08/01

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.

Citations

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Related

• Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras
• Classifying right-angled Hecke C*-algebras via K-theoretic invariants
• On weights, traces and K-theory
• Idempotents, traces, and dimensions in Hecke categories
• On the trace of Coxeter elements