Rigidity of groups and higher index theory

S^1-bounded Fourier multipliers on H^1(ℝ) 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, Issue 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, Issue 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

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

Author(s): Das, Kajal
Published in: preprint, Issue 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, Issue submitted, 2020
Publisher: arxiv
DOI: 10.48550/arxiv.2008.12572

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

Author(s): Sven Raum; Adam Skalski
Published in: Advances in Mathematics, Issue Volume 407, 8 October 2022, 108559, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.48550/arxiv.2103.02962

Asymptotic expansion in measure and strong ergodicity

Author(s): Kang Li; Federico Vigolo; Jiawen Zhang
Published in: Journal of Topology and Analysis, Issue 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, Issue 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, Issue 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, Issue 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, Issue 279/11, 2020, Page(s) 108730, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2020.108730

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

Author(s): Damian Orlef
Published in: Bulletin of the London Mathematical Society, Issue 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, Issue 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, Issue 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, Issue 1, 2021, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.48550/arxiv.2001.00376

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

Author(s): Kang Li, Piotr W. Nowak, Sanaz Pooya
Published in: Journal of Noncommutative Geometry, Issue accepted, to appear, 2019, ISSN 1661-6952
Publisher: European Mathematical Society Publishing House

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
Publisher: Polska Akademia Nauk
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
Publisher: Springer Verlag
DOI: 10.1007/s00208-019-01874-9

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, Issue 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 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
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, Issue 13 (2021), no. 3, 2021, Page(s) 809–841, ISSN 1793-5253
Publisher: World Scientific Publishing Co. Pte Ltd
DOI: 10.1142/s1793525320500314

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

Author(s): Yeong Chyuan Chung, Piotr W. Nowak
Published in: Journal of Noncommutative Geometry, Issue accepted, to appear, 2023, Page(s) --, ISSN 1661-6952
Publisher: European Mathematical Society Publishing House

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, Issue 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

Structure and K-theory of ℓp uniform Roe algebras

Author(s): Yeong Chyuan Chung, Kang Li
Published in: J. Noncommut. Geom., Issue 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., Issue 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, Issue 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, Issue 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, Issue 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, Issue 10 (2022), 2022, Page(s) Paper No. e22, 28 pp, ISSN 2050-5094
Publisher: Cambridge Univ. Press
DOI: 10.1017/fms.2022.11

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

Author(s): Yongle Jiang, Piotr W. Nowak
Published in: In: Curto, R.E., Helton, W., Lin, H., Tang, X., Yang, R., Yu, G. (eds) Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology . Operator Theory: Advances and Applications, vol 278., 2018, ISBN 978-3-030-43379-6
Publisher: Birkauser
DOI: 10.1007/978-3-030-43380-2_18

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