19 citations · 78 across the 17 of their papers we have counts for
31 papers
Higher Kazhdan projections, -Betti numbers and Baum-Connes conjectures
Kang Li, Piotr W. Nowak, Sanaz Pooya
We introduce higher-dimensional analogs of Kazhdan projections in matrix algebras over group -algebras and Roe algebras. These projections are constructed in the framework of…
Group algebra criteria for vanishing of cohomology
Uri Bader, Piotr W. Nowak
Given a group satisfying sufficient finiteness properties, we discuss a group algebra criterion for vanishing of all its cohomology groups with unitary coefficients in a certain de…
Quasi-local Algebras and Asymptotic Expanders
Kang Li, Piotr Nowak, Ján Špakula +1
In this paper, we study the relation between the uniform Roe algebra and the uniform quasi-local algebra associated to a metric space of bounded geometry. In the process, we introd…
On property (T) for and
Marek Kaluba, Dawid Kielak, Piotr W. Nowak
We prove that has Kazhdan's property (T) for every . Together with a previous result of Kaluba, Nowak, and Ozawa, this gives the same state…
Singular subgroups in -groups and their von Neumann algebras
Yongle Jiang, Piotr W. Nowak
We show that certain amenable subgroups inside -groups are singular in the sense of Boutonnet and Carderi. This gives a new family of examples of singular group von Ne…
Expanders are counterexamples to the coarse Baum-Connes conjecture
Yeong Chyuan Chung, Piotr W. Nowak
We consider an coarse Baum-Connes assembly map for , and show that it is not surjective for expanders arising from residually finite hyperbolic groups.