Amenability, Approximation and Reconstruction

Project Information

AMAREC

Grant agreement ID: 834267

DOI

10.3030/834267

Project closed

EC signature date 10 May 2019

Start date 1 October 2019

End date 30 September 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 596 017,00

EU contribution

€ 1 596 017,00

Coordinated by

UNIVERSITAET MUENSTER
Germany

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

Peer reviewed articles (17)

Diagonal Comparison of Ample C*-diagonals

Author(s): Grigoris Kopsacheilis, Wilhelm Winter
Published in: International Mathematics Research Notices, Issue 2025, 2025, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaf113

Approximation properties of Fell bundles over inverse semigroups and non-Hausdorff groupoids

Author(s): Alcides Buss, Diego Martínez
Published in: Advances in Mathematics, Issue 431, 2026, Page(s) 109251, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2023.109251

Uniform property $ \Gamma $ and finite dimensional tracial boundaries

Author(s): Samuel Evington, Christopher Schafhauser
Published in: Canadian Journal of Mathematics, 2025, Page(s) 1-22, ISSN 0008-414X
Publisher: Canadian Mathematical Society
DOI: 10.4153/s0008414x2400107x

"<mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML""> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>*</mml:mo> </mml:msup> </mml:math> -rigidity of bounded geometry metric spaces"

Author(s): Diego Martínez, Federico Vigolo
Published in: Publications Mathématiques de l'IHÉS, Issue 141, 2026, Page(s) 333-348, ISSN 0073-8301
Publisher: Springer Verlag
DOI: 10.1007/s10240-025-00155-3

A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy

Author(s): Becky Armstrong, Abraham Ng, Aidan Sims, Yumiao Zhou
Published in: Proceedings of the American Mathematical Society, 2026, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/17159

A Cantor Spectrum Diagonal in ₂

Author(s): Philipp Sibbel, Wilhelm Winter
Published in: Proceedings of the American Mathematical Society, Series B, Issue 12, 2026, Page(s) 210-217, ISSN 2330-1511
Publisher: American Mathematical Society (AMS)
DOI: 10.1090/bproc/269

Nuclear dimension of crossed products associated to partial dynamical systems

Author(s): Shirly Geffen
Published in: Journal of Functional Analysis, Issue 281, 2025, Page(s) 109031, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2021.109031

The local bisection hypothesis for twisted groupoid C*-algebras

Author(s): Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, Jacqui Ramagge
Published in: Semigroup Forum, Issue 107, 2023, Page(s) 609-623, ISSN 0037-1912
Publisher: Springer Verlag
DOI: 10.1007/s00233-023-10392-9

Actions on classifiable C*‐algebras without equivariant property (SI)

Author(s): Eusebio Gardella, Julian Kranz, Andrea Vaccaro
Published in: Bulletin of the London Mathematical Society, Issue 56, 2024, Page(s) 3623-3633, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.13154

Partial C*-dynamics and Rokhlin dimension

Author(s): FERNANDO ABADIE, EUSEBIO GARDELLA, SHIRLY GEFFEN
Published in: Ergodic Theory and Dynamical Systems, 2023, Page(s) 1-34, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.82

Alexandrov groupoids and the nuclear dimension of twisted groupoid C⁎-algebras

Author(s): Kristin Courtney, Anna Duwenig, Magdalena C. Georgescu, Astrid an Huef, Maria Grazia Viola
Published in: Journal of Functional Analysis, Issue 286, 2025, Page(s) 110372, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110372

Roe algebras of coarse spaces via coarse geometric modules

Author(s): Diego Martínez, Federico Vigolo
Published in: Journal of Noncommutative Geometry, 2026, ISSN 1661-6952
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jncg/642

Anomalous symmetries of classifiable C*-algebras

Author(s): Samuel Evington, Sergio Girón Pacheco
Published in: Studia Mathematica, Issue 270, 2023, Page(s) 73-101, ISSN 0039-3223
Publisher: Polska Akademia Nauk
DOI: 10.4064/sm220117-25-6

Nuclear dimension of crossed products associated to partial dynamical systems

Author(s): Geffen, Shirly
Published in: Journal of Functional Analysis, Issue 281(2), 2021, ISSN 0022-1236
Publisher: Academic Press

Nuclearity and CPC*-systems

Author(s): Courtney, Kristin; Winter, Wilhelm
Published in: Forum of Mathematics, Sigma, Issue 4, 2024, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.48550/arxiv.2304.01332

Bauer simplices and the small boundary property

Author(s): David Kerr, Grigoris Kopsacheilis, Spyridon Petrakos
Published in: Journal of Functional Analysis, Issue 287, 2024, Page(s) 110619, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110619

Nuclear dimension of extensions of commutative $${\textrm{C}}^*$$-algebras by Kirchberg algebras

Author(s): Samuel Evington, Abraham C. S. Ng, Aidan Sims, Stuart White
Published in: Mathematische Zeitschrift, Issue 310, 2025, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-025-03787-7

Other (13)

Nuclear dimension of extensions of $\mathcal{O}_\infty$-stable algebras

Author(s): Evington, Samuel
Published in: Issue 1, 2020
Publisher: arXiv

Partial C*-dynamics and Rokhlin dimension

Author(s): Abadie, Fernando; Gardella, Eusebio; Geffen, Shirly
Published in: Issue 1, 2020
Publisher: arXiv

A rigidity framework for Roe-like algebras

Author(s): Martínez, Diego; Vigolo, Federico
Published in: Issue 15, 2024
Publisher: n/a
DOI: 10.48550/arxiv.2403.13624

Tracially Complete C*-Algebras

Author(s): Carrión, José R.; Castillejos, Jorge; Evington, Samuel; Gabe, James; Schafhauser, Christopher; Tikuisis, Aaron; White, Stuart
Published in: Issue 13, 2023
Publisher: n/a
DOI: 10.48550/arxiv.2310.20594

Images of Order Zero Maps

Author(s): Courtney, Kristin; Winter, Wilhelm
Published in: Issue 8, 2023
Publisher: n/a
DOI: 10.48550/arxiv.2312.08215

Traces on the uniform tracial completion of $\mathcal{Z}$-stable C*-algebras

Author(s): Evington, Samuel
Published in: Issue 11, 2024
Publisher: n/a
DOI: 10.48550/arxiv.2407.00727

Reconstruction of twisted Steinberg algebras

Author(s): Armstrong, Becky; de Castro, Gilles G.; Clark, Lisa Orloff; Courtney, Kristin; Lin, Ying-Fen; McCormick, Kathryn; Ramagge, Jacqui; Sims, Aidan; Steinberg, Benjamin
Published in: Issue 1, 2021
Publisher: arXiv

Equivariant $\mathcal{D}$-stability for Actions of Tensor Categories

Author(s): Evington, Samuel; Pacheco, Sergio Girón; Jones, Corey
Published in: Issue 8, 2024
Publisher: n/a
DOI: 10.48550/arxiv.2401.14238

Decomposable partial actions

Author(s): Abadie, Fernando; Gardella, Eusebio; Geffen, Shirly
Published in: 2020
Publisher: arXiv

The diagonal dimension of sub-C*-algebras

Author(s): Li, Kang; Liao, Hung-Chang; Winter, Wilhelm
Published in: Issue 8, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2303.16762

Dynamical comparison and $\mathcal{Z}$-stability for crossed products of simple $C^*$-algebras

Author(s): Gardella, Eusebio; Geffen, Shirly; Naryshkin, Petr; Vaccaro, Andrea
Published in: Issue 12, 2022
Publisher: n/a
DOI: 10.48550/arxiv.2209.06507

Universal $\mathrm{C}^*$-algebras with the Local Lifting Property

Author(s): Courtney, Kristin E.
Published in: Issue 3, 2020
Publisher: arXiv

Uniform property $\Gamma$ and the small boundary property

Author(s): Kopsacheilis, Grigoris; Liao, Hung-Chang; Tikuisis, Aaron; Vaccaro, Andrea
Published in: Issue 1, 2024
Publisher: n/a