Rigidity of groups and higher index theory

Project Information

INDEX

Grant agreement ID: 677120

DOI

10.3030/677120

Project closed

EC signature date 15 March 2016

Start date 1 August 2016

End date 31 July 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 880 625,00

EU contribution

€ 880 625,00

Coordinated by

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Poland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (7)

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, Issue submitted, 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

Peer reviewed articles (24)

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, Issue 375 (2019), no. 3-4, 2019, Page(s) 1169–1191, 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

Conference proceedings (1)

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