Interactions between Groups, Orbits, and Cartans

Project Information

IGOC

Grant agreement ID: 817597

DOI

10.3030/817597

Project closed

EC signature date 6 February 2019

Start date 1 September 2019

End date 28 February 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 296 966,00

EU contribution

€ 1 296 966,00

Coordinated by

UNIVERSITY OF GLASGOW
United Kingdom

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 (25)

A Generalization of Renault's Theorem for Cartan Subalgebras

Author(s): Raad, Ali
Published in: Proceedings of the American Mathematical Society, Issue 1, 2022, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/16003

Stable Isomorphisms of Operator Algebras

Author(s): Kakariadis, Evgenios; Katsoulis, Elias; Li, Xin
Published in: International Mathematics Research Notices, Issue 18, 2024, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnad146

Every classifiable simple C*-algebra has a Cartan subalgebra

Author(s): Xin Li
Published in: Inventiones mathematicae, Issue 219, 2023, Page(s) 653-699, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-019-00914-0

-duality for self-similar groupoid actions on graphs

Author(s): Nathan Brownlowe, Alcides Buss, Daniel Gonçalves, Jeremy Hume, Aidan Sims, Michael Whittaker
Published in: Transactions of the American Mathematical Society, 2024, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/9183

Left regular representations of Garside categories II. Finiteness properties of topological full groups

Author(s): Xin Li
Published in: Groups, Geometry, and Dynamics, 2024, ISSN 1661-7207
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ggd/847

The AH conjecture for Cantor minimal dihedral systems

Author(s): Scarparo, Eduardo
Published in: Mathematica Scandinavica, Issue 5, 2023, ISSN 0025-5521
Publisher: Mathematica Scandinavica
DOI: 10.7146/math.scand.a-136741

Isomorphisms in K-theory from isomorphisms in groupoid homology theories

Author(s): Alistair Miller
Published in: Transactions of the American Mathematical Society, 2025, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/9373

Hyperrigidity of C*-Correspondences

Author(s): Se-Jin Kim
Published in: Integral Equations and Operator Theory, Issue 93, 2023, ISSN 0378-620X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00020-021-02663-3

Semigroup *-Algebras Arising from Graphs of Monoids

Author(s): Chen, Cheng; Li, Xin
Published in: International Mathematics Research Notices, Issue 11, 2023, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnac332

Nonunital Operator Systems and Noncommutative Convexity

Author(s): Matthew Kennedy, Se-Jin Kim, Nicholas Manor
Published in: International Mathematics Research Notices, 2022, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab349

C∗-irreducibility of commensurated subgroups

Author(s): Li, Kang; Scarparo, Eduardo
Published in: Pacific Journal of Mathematics, Issue 2, 2023, ISSN 0030-8730
Publisher: University of California at Berkeley
DOI: 10.2140/pjm.2023.322.369

Left regular representations of Garside categories I. C^*-algebras and groupoids

Author(s): Li, Xin
Published in: Glasgow Mathematical Journal, Issue 2, 2023, ISSN 0017-0895
Publisher: Cambridge University Press
DOI: 10.1017/s0017089522000106

C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems

Author(s): Dor-On, A.; Kakariadis, E.T.A.; Katsoulis, E.; Laca, M.; Li, X.
Published in: Crossref, Issue 3, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108286

Functors between Kasparov categories from étale groupoid correspondences

Author(s): Alistair Miller
Published in: Journal of Functional Analysis, Issue 287, 2024, Page(s) 110623, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2024.110623

Ample Groupoids, Topological Full groups, Algebraic K-theory Spectra and Infinite Loop Spaces

Author(s): Xin Li
Published in: Forum of Mathematics, Pi, Issue 13, 2025, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.1017/fmp.2024.31

Constructing C*-diagonals in AH-algebras

Author(s): Li, Xin; Raad, Ali I
Published in: Transactions of the American Mathematical Society, Issue 1, 2023, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/9023

Ample groupoid homology and étale correspondences

Author(s): Alistair Miller
Published in: Journal of Noncommutative Geometry, Issue 2, 2024, ISSN 1661-6952
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jncg/569

Boundary quotient C*-algebras of semigroups

Author(s): Kakariadis, Evgenios T. A.; Katsoulis, Elias G.; Laca, Marcelo; Li, Xin
Published in: Journal of the London Mathematical Society, Issue 3, 2022, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12557

Algebraic actions I. C*-algebras and groupoids

Author(s): Chris Bruce; Xin Li
Published in: Journal of Functional Analysis, Issue 18, 2024, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2023.110263

K-Theory for Semigroup C*-Algebras and Partial Crossed Products

Author(s): Xin Li
Published in: Communications in Mathematical Physics, Issue 3, 2022, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04194-9

Co-universality and controlled maps on product systems over right LCM-semigroups

Author(s): Kakariadis, Evgenios T. A.; Katsoulis, Elias G.; Laca, Marcelo; Li, Xin
Published in: Analysis & PDE, Issue 2, 2023, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2023.16.1433

Constructing Menger manifold C*-diagonals in classifiable C*-algebras

Author(s): Xin Li
Published in: International Mathematics Research Notices, Issue 1, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab199

A tracial characterization of Furstenberg’s conjecture

Author(s): Chris Bruce, Eduardo Scarparo
Published in: Canadian Mathematical Bulletin, Issue 67, 2024, Page(s) 244-256, ISSN 0008-4395
Publisher: Canadian Mathematical Society
DOI: 10.4153/s0008439523000693

On the $C^{*}$-algebra associated with the full adele ring of a number field

Author(s): Chris Bruce, Takuya Takeishi
Published in: Journal of Noncommutative Geometry, 2025, ISSN 1661-6952
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jncg/613

Constructing Number Field Isomorphisms from *-Isomorphisms of Certain Crossed Product C*-Algebras

Author(s): Chris Bruce; Takuya Takeishi
Published in: Communications in Mathematical Physics, Issue 14, 2024, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04927-y