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math.OA2025
Delocalised traces on Hecke algebras of right-angled, hyperbolic type
Piotr Nowak, Sanaz Pooya, Sven Raum +1
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…
math.OA2025
Euler characteristics, higher Kazhdan projections and delocalised -Betti numbers
Sanaz Pooya, Baiying Ren, Hang Wang
For non-amenable finitely generated virtually free groups, we show that the combinatorial Euler characteristic introduced by Emerson and Meyer is the preimage of the K-theory class…
math.OA2024
Higher Kazhdan projections and delocalised -Betti numbers
Sanaz Pooya, Hang Wang
We provide an explicit description of the K-classes of higher Kazhdan projections in degrees greater than 0 for specific free product groups and Cartesian product groups. Employing…