Higher Kazhdan projections, \(\ell_2\)-Betti numbers and Baum-Connes conjectures

DOI10.4171/jncg/529arXiv2006.09317OpenAlexW3034449626MaRDI QIDQ6203828

Sanaz Pooya, Piotr W. Nowak, Kang Li

Publication date: 8 April 2024

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09317

zbMATH Keywords

Betti numbersRoe algebrasBaum-Connes conjecturesKazhdan projections

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Topological algebras of operators (46H35)

Cites Work

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• Approximating \(L^2\)-invariants by their classical counterparts
• Higher index theory for certain expanders and Gromov monster groups. I
• Metric sparsification and operator norm localization
• Von Neumann spectra near zero
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• Growth of Betti numbers
• The relation between the Baum-Connes conjecture and the trace conjecture
• Counterexamples to the Baum-Connes conjecture
• Group algebra criteria for vanishing of cohomology
• Kazhdan projections, random walks and ergodic theorems
• Property A and the operator norm localization property for discrete metric spaces
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Small cancellation labellings of some infinite graphs and applications
• The Baum–Connes conjecture: an extended survey
• Unbounded Negative Definite Functions
• Higher Index Theory
• HIGH DIMENSIONAL EXPANDERS
• Introduction to ℓ²-invariants
• STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS
• Cohomology of deformations

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