K-theory, L^2-invariants, manifolds, groups and their interactions

Project Information

KL2MG-interactions

Grant agreement ID: 662400

DOI

10.3030/662400

Project closed

EC signature date 24 July 2015

Start date 1 November 2015

End date 31 October 2020

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 719 583,00

EU contribution

€ 1 719 583,00

Coordinated by

RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN
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

Book chapters (2)

Assembly maps

Author(s): Wolfgang Lück
Published in: Handbook of Homotopy Theory, 2020, Page(s) 851-890, ISBN 9781351251624
Publisher: Chapman and Hall/CRC
DOI: 10.1201/9781351251624-20

Assembly Maps

Author(s): Lueck, Wolfgang
Published in: to appear in the macbook of homotopy theory, Issue 3, 2020
Publisher: Chapman Hall / CRC Press

Peer reviewed articles (17)

Lehmer’s problem for arbitrary groups

Author(s): W. Lück
Published in: Journal of Topology and Analysis, 2020, Page(s) 1-32, ISSN 1793-5253
Publisher: World Scientific Publishing Co. Pte Ltd
DOI: 10.1142/s1793525321500035

The agrarian polytope of two‐generator one‐relator groups

Author(s): Fabian Henneke, Dawid Kielak
Published in: Journal of the London Mathematical Society, Issue 102/2, 2020, Page(s) 722-748, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12334

Universal L2-torsion, polytopes and applications to 3-manifolds

Author(s): Stefan Friedl, Wolfgang Lück
Published in: Proceedings of the London Mathematical Society, Issue 114/6, 2017, Page(s) 1114-1151, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12035

Assembly maps for topological cyclic homology of group algebras

Author(s): Wolfgang Lück, Holger Reich, John Rognes, Marco Varisco
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 0/0, 2017, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2017-0023

Localization, Whitehead groups and the Atiyah conjecture

Author(s): Wolfgang Lück, Peter Linnell
Published in: Annals of K-Theory, Issue 3/1, 2018, Page(s) 33-53, ISSN 2379-1691
Publisher: msp
DOI: 10.2140/akt.2018.3.33

Approximately fibering a manifold over an aspherical one

Author(s): Tom Farrell, Wolfgang Lück, Wolfgang Steimle
Published in: Mathematische Annalen, Issue volume 370, 2018, Page(s) 669-726, ISSN 0025-5831
Publisher: Springer Verlag

Localization of cofibration categories and groupoid C∗–algebras

Author(s): Markus Land, Thomas Nikolaus, Karol Szumiło
Published in: Algebraic & Geometric Topology, Issue 17/5, 2017, Page(s) 3007-3020, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2017.17.3007

On the Relation between K- and L-Theory of $C^*$-Algebras

Author(s): Land, Markus; Nikolaus, Thomas
Published in: Mathematische Annalen, Issue volume 371, 2018, Page(s) 517-563, ISSN 0025-5831
Publisher: Springer Verlag

On the Farrell–Jones conjecture for Waldhausen’s A–theory

Author(s): Nils-Edvin Enkelmann, Wolfgang Lück, Malte Pieper, Mark Ullmann, Christoph Winges
Published in: Geometry & Topology, Issue 22/6, 2018, Page(s) 3321-3394, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.2140/gt.2018.22.3321

L2-Euler characteristics and the Thurston norm

Author(s): Stefan Friedl, Wolfgang Lück
Published in: Proceedings of the London Mathematical Society, 2018, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12202

Twisting L2-invariants with finite-dimensional representations

Author(s): Wolfgang Lück
Published in: Journal of Topology and Analysis, Issue 10/04, 2018, Page(s) 723-816, ISSN 1793-5253
Publisher: World Scientific Publishing Co. Pte Ltd
DOI: 10.1142/S1793525318500279

The $L^2$-torsion function and the Thurston norm of 3-manifolds

Author(s): Stefan Friedl, Wolfgang Lück
Published in: Commentarii Mathematici Helvetici, Issue 94/1, 2019, Page(s) 21-52, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/453

Algebraic K-theory of group rings and the cyclotomic trace map

Author(s): Lück, W., Reich, H., Rognes, J., and Varisco, M.
Published in: Advances in Mathematics, Issue volume 304, 2017, Page(s) 930 - 1020, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2016.09.004

On the stable Cannon Conjecture

Author(s): Steve Ferry, Wolfgang Lück, Shmuel Weinberger
Published in: Journal of Topology, Issue 12/3, 2019, Page(s) 799-832, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12099

The Segal conjecture for infinite discrete groups

Author(s): Wolfgang Lück
Published in: Algebraic & Geometric Topology, Issue 20/2, 2020, Page(s) 965-986, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2020.20.965

Coarse homology theories and finite decomposition complexity

Author(s): Ulrich Bunke, Alexander Engel, Daniel Kasprowski, Christoph Winges
Published in: Algebraic & Geometric Topology, Issue 19/6, 2019, Page(s) 3033-3074, ISSN 1472-2747
Publisher: Geometry & Topology Publications
DOI: 10.2140/agt.2019.19.3033

Injectivity results for coarse homology theories

Author(s): Ulrich Bunke, Alexander Engel, Daniel Kasprowski, Christoph Winges
Published in: Proceedings of the London Mathematical Society, Issue 121/6, 2020, Page(s) 1619-1684, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12380

Conference proceedings (1)

Groups and polytopes

Author(s): Friedl, Stefan; Lück, Wolfgang; Tillmann, Stephan
Published in: Proc. Sympos. Pure Math., 102, 2019, Page(s) 57-77, ISBN 978-1-4704-4249-1
Publisher: American Mathematical Society