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math.OA2020
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…
math.GR2020
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…