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Rigidity of groups and higher index theory

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Publications

Group algebra criteria for vanishing of cohomology

Author(s): Uri Bader, Piotr W. Nowak
Published in: Journal of Functional Analysis, Issue 279/11, 2020, Page(s) 108730, ISSN 0022-1236
DOI: 10.1016/j.jfa.2020.108730

Coarse Baum-Connes conjecture and rigidity for Roe algebras

Author(s): Bruno M. Braga, Yeong Chyuan Chung, Kang Li
Published in: Journal of Functional Analysis, Issue 279/9, 2020, Page(s) 108728, ISSN 0022-1236
DOI: 10.1016/j.jfa.2020.108728

On complements of Kazhdan projections in semisimple groups

Author(s): Piotr W. Nowak, Eric Reckwerdt
Published in: Studia Mathematica, Issue 246/1, 2019, Page(s) 63-69, ISSN 0039-3223
DOI: 10.4064/sm171126-18-7

$${\text {Aut}}({\mathbb {F}}_5)$$ Aut ( F 5 ) has property (T)

Author(s): Marek Kaluba, Piotr W. Nowak, Narutaka Ozawa
Published in: Mathematische Annalen, 2019, ISSN 0025-5831
DOI: 10.1007/s00208-019-01874-9

Rigidity of ℓp Roe-type algebras

Author(s): Yeong Chyuan Chung, Kang Li
Published in: Bulletin of the London Mathematical Society, Issue 50/6, 2018, Page(s) 1056-1070, ISSN 0024-6093
DOI: 10.1112/blms.12201

Certifying numerical estimates of spectral gaps

Author(s): Marek Kaluba, Piotr W. Nowak
Published in: Groups Complexity Cryptology, Issue 0/0, 2018, ISSN 1867-1144
DOI: 10.1515/gcc-2018-0004

Higher Kazhdan projections, ℓ2-Betti numbers and Baum-Connes conjectures

Author(s): Kang Li, Piotr W. Nowak, Sanaz Pooya
Published in: arxiv preprint, 2019

A quasi-local characterisation of $L^p$-Roe algebras

Author(s): Li, Kang; Wang, Zhijie; Zhang, Jiawen
Published in: arxiv preprint, Issue 1, 2018

Dynamical Complexity and K-Theory of Lp Operator Crossed Products

Author(s): Yeong Chyuan Chung
Published in: arxiv preprint, 2018

Expanders are counterexamples to the coarse $\ell_p$-Baum-Connes conjecture

Author(s): Yeong Chyuan Chung, Piotr W. Nowak
Published in: arxiv preprint, 2018

Singular subgroups in $\widetilde{A}_2$-groups and their von Neumann algebras

Author(s): Yongle Jiang, Piotr W. Nowak
Published in: Proceedings of IWOTA 2018, accepted, 2018

On property (T) for Aut(F_n) and SL_n(Z)

Author(s): Marek Kaluba, Dawid Kielak, Piotr W. Nowak
Published in: Annals of Mathematics, accepted, 2018

Structure and K-theory of ℓp uniform Roe algebras

Author(s): Yeong Chyuan Chung, Kang Li
Published in: arxiv preprint, 2019

Coarse Baum-Connes conjecture and rigidity for Roe algebras

Author(s): Bruno de Mendonça Braga, Yeong Chyuan Chung, Kang Li
Published in: arXiv preprint, 2019

Quasi-local Algebras and Asymptotic Expanders

Author(s): Kang Li, Piotr Nowak, Ján Špakula, Jiawen Zhang
Published in: arXiv preprint, 2019