5 papers
Higher Kazhdan projections for one relator groups
Sanaz Pooya, Baiying Ren, Hang Wang
We study the -theory classes of higher Kazhdan projections of a discrete group under a spectral-gap assumption and recall how they are obtained, via the Baum--Connes assembly ma…
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…
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…
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…
Property (T) for Banach algebras
Emilie Mai Elkiær, Sanaz Pooya
We define and study the notion of property for Banach algebras, generalizing the one from -algebras. For a second countable locally compact group and a given fam…