Aut (F_5) has property (T)

Author(s): Marek Kaluba, Piotr W. Nowak, Narutaka Ozawa

Published in: Mathematische Annalen, 2019, ISSN 0025-5831

Publisher: Springer Verlag

DOI: 10.1007/s00208-019-01874-9

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, Volume 193 (2021), Issue 2, 2018, Page(s) 539-562, ISSN 0003-486X

Publisher: Princeton University Press

DOI: 10.4007/annals.2021.193.2.3

Asymptotic expansion in measure and strong ergodicity

Author(s): Kang Li; Federico Vigolo; Jiawen Zhang

Published in: Journal of Topology and Analysis, 14, 2021, ISSN 1793-5253

Publisher: World Scientific Publishing Co. Pte Ltd

DOI: 10.1142/s1793525321500278

An algebraic characterization of ample type I groupoids

Author(s): Favre, Gabriel; Raum, Sven

Published in: Semigroup Forum, 104 (2022), no. 1, 2022, Page(s) 58–71, ISSN 0037-1912

Publisher: Springer Verlag

DOI: 10.1007/s00233-021-10241-7

The Haagerup property for twisted groupoid dynamical systems

Author(s): Bartosz K. Kwaśniewski; Kang Li; Adam Skalski

Published in: Journal of Functional Analysis, Volume 283, Issue 1, 1 July 2022, 109484, 2022, ISSN 0022-1236

Publisher: Academic Press

DOI: 10.1016/j.jfa.2022.109484

Measured expanders

Author(s): Kang Li; Ján Špakula; Jiawen Zhang

Published in: Journal of Analysis and Topology, 31, 2022, ISSN 1793-5253

Publisher: World Scientific Publishing Co. Pte Ltd

DOI: 10.48550/arxiv.2104.06052

Group algebra criteria for vanishing of cohomology

Author(s): Uri Bader, Piotr W. Nowak

Published in: Journal of Functional Analysis, 279/11, 2020, Page(s) 108730, ISSN 0022-1236

Publisher: Academic Press

DOI: 10.1016/j.jfa.2020.108730

Classifying right-angled Hecke C*-algebras via K-theoretic invariants

Authors: Sven Raum; Adam Skalski

Published in: Advances in Mathematics, Volume 407, 8 October 2022, 108559, 2022, ISSN 0001-8708

Publisher: Academic Press

DOI: 10.48550/arxiv.2103.02962

Non-orderability of random triangular groups by using random 3CNF formulas

Author(s): Damian Orlef

Published in: Bulletin of the London Mathematical Society, Vol. 53, issue 5, 2021, ISSN 0024-6093

Publisher: Oxford University Press

DOI: 10.48550/arxiv.2102.01601

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, 279/9, 2020, Page(s) 108728, ISSN 0022-1236

Publisher: Academic Press

DOI: 10.1016/j.jfa.2020.108728

Dynamic asymptotic dimension for actions of virtually cyclic groups

Author(s): Massoud Amini; Kang Li; Damian Sawicki; Ali Shakibazadeh

Published in: Proceedings of the Edinburgh Mathematical Society, Volume 64 , Issue 2 , May 2021, 2021, Page(s) 364 - 372, ISSN 0013-0915

Publisher: Cambridge University Press

DOI: 10.1017/s0013091521000183

The type semigroup, comparison and almost finiteness for ample groupoids

Author(s): Pere Ara; Christian Bönicke; Joan Bosa; Kang Li

Published in: Ergodic Theory and Dynamical Systems, 1, 2021, ISSN 0143-3857

Publisher: Cambridge University Press

DOI: 10.48550/arxiv.2001.00376

On complements of Kazhdan projections in semisimple groups

Author(s): Piotr W. Nowak, Eric Reckwerdt

Published in: Studia Mathematica, 246/1, 2019, Page(s) 63-69, ISSN 0039-3223

Publisher: Polska Akademia Nauk

DOI: 10.4064/sm171126-18-7

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

Author(s): Li, Kang; Wang, Zhijie; Zhang, Jiawen

Published in: Journal of Mathematical Analysis and Applications, Volume 474, Issue 2, 15 June 2019, 2019, Page(s) 1213-1237, ISSN 0022-247X

Publisher: Academic Press

DOI: 10.1016/j.jmaa.2019.02.013

Rigidity of p Roe-type algebras

Author(s): Yeong Chyuan Chung, Kang Li

Published in: Bulletin of the London Mathematical Society, 50/6, 2018, Page(s) 1056-1070, ISSN 0024-6093

Publisher: Oxford University Press

DOI: 10.1112/blms.12201

Dynamical Complexity and K-Theory of Lp Operator Crossed Products

Author(s): Yeong Chyuan Chung

Published in: Journal of Topology and Analysis, 13 (2021), no. 3, 2021, Page(s) 809–841, ISSN 1793-5253

Publisher: World Scientific Publishing Co. Pte Ltd

DOI: 10.1142/s1793525320500314

Structure and K-theory of p uniform Roe algebras

Author(s): Yeong Chyuan Chung, Kang Li

Published in: J. Noncommut. Geom., 15 (2021), no. 2, 2021, Page(s) 581–614, ISSN 1661-6952

Publisher: European Mathematical Society Publishing House

DOI: 10.4171/jncg/405

Quasi-local Algebras and Asymptotic Expanders

Author(s): Kang Li, Piotr W. Nowak, Ján Špakula, Jiawen Zhang

Published in: Groups Geom. Dyn., 15 (2021), no. 2, 2021, Page(s) 655–682, ISSN 1661-7207

Publisher: European Mathematical Society Publishing House

DOI: 10.4171/ggd/610

Certifying numerical estimates of spectral gaps

Author(s): Marek Kaluba, Piotr W. Nowak

Published in: Groups Complexity Cryptology, 0/0, 2018, ISSN 1867-1144

Publisher: Walter de Gruyter GmbH & Co. KG

DOI: 10.1515/gcc-2018-0004

On the structure of asymptotic expanders

Author(s): Ana Khukhro; Kang Li; Federico Vigolo; Jiawen Zhang

Published in: Advances in Mathematics, 6, 2021, ISSN 0001-8708

Publisher: Academic Press

DOI: 10.48550/arxiv.1910.13320

Strict comparison for C*-algebras arising from almost finite groupoids

Author(s): Pere Ara; Christian Bönicke; Joan Bosa; Kang Li

Published in: Banach Journal of Mathematical Analysis, volume 14, pages1692–1710, 2020, ISSN 1735-8787

Publisher: Banach Mathematical Research Group

DOI: 10.48550/arxiv.2002.12221

Amenability, proximality and higher order syndeticity

Author(s): Kennedy, Matthew; Raum, Sven; Salomon, Guy

Published in: Forum Math. Sigma, 10 (2022), 2022, Page(s) Paper No. e22, 28 pp, ISSN 2050-5094

Publisher: Cambridge Univ. Press

DOI: 10.1017/fms.2022.11

S^1-bounded Fourier multipliers on H^1() and functional calculus for semigroups

Author(s): Loris Arnold, Christian Le Merdy, Safoura Zadeh

Published in: preprint, 2022

Publisher: arxiv

DOI: 10.48550/arxiv.2203.16829

BEHAVIOR OF KREISS BOUNDED C0-SEMIGROUPS ON A HILBERT SPACE

Author(s): Loris Arnold

Published in: preprint, 2022

Publisher: arxiv

DOI: 10.48550/arxiv.2206.10426

The ideal intersection property for essential groupoid C*-algebras

Author(s): Kennedy, Matthew; Kim, Se-Jin; Li, Xin; Raum, Sven; Ursu, Dan

Published in: preprint, submitted, 2021

Publisher: arxiv

DOI: 10.48550/arxiv.2107.03980

Measured asymptotic expanders and rigidity for Roe algebras

Author(s): Kang Li, Ján Špakula, Jiawen Zhang

Published in: preprint, submitted, 2022

Publisher: arxiv

DOI: 10.48550/arxiv.2010.10749

Spectral gap for the cohomological Laplacian of SL_3(Z)

Author(s): Marek Kaluba, Piotr Mizerka, Piotr W. Nowak

Published in: preprint, 2022

Publisher: arxiv

DOI: 10.48550/arxiv.2207.02783

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

Author(s): Kang Li, Piotr W. Nowak, Sanaz Pooya

Published in: arxiv preprint, 2019

Publisher: arxiv

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

Author(s): Yeong Chyuan Chung, Piotr W. Nowak

Published in: arxiv preprint, 2018

Publisher: arxiv

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

Publisher: arxiv

From the coarse geometry of warped cones to the measured coupling of groups

Author(s): Das, Kajal

Published in: preprint, submitted, 2020

Publisher: arxiv

DOI: 10.48550/arxiv.2004.10000

A Markovian and Roe-algebraic approach to asymptotic expansion in measure

Author(s): Li, Kang; Vigolo, Federico; Zhang, Jiawen

Published in: preprint, submitted, 2020

Publisher: arxiv

DOI: 10.48550/arxiv.2008.12572