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

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Publications

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, 3, 2020
Publisher: Chapman Hall / CRC Press

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, 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, 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), 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, 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, 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, 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, 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, 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, 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, 94/1, 2019, Page(s) 21-52, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/453

The L^2-Alexander torsion is symmetric

Author(s): Dubois, J, and Friedl, S. and Lück, W.
Published in: Algebraic and Geometric Topology, 2015, Page(s) 3599 - 3612, ISSN 1472-2739
Publisher: map

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, volume 304, 2017, Page(s) 930 - 1020, ISSN 0001-8708
Publisher: Academic Press

Splitting the relative assembly map, nil-terms and involutions

Author(s): Lück, W. and Steimle, W.
Published in: Annals of K-theory, vol 1, 2016, Page(s) 339 - 377, ISSN 2379-1691
Publisher: msp

The Alexander torsion of 3-manifolds

Author(s): Dubois, J, Friedl, S., and Lück, W.
Published in: Journal of Topology, volume 9, 2016, Page(s) 889 - 926, ISSN 1753-8416
Publisher: Oxford University Press

On the stable Cannon Conjecture

Author(s): Steve Ferry, Wolfgang Lück, Shmuel Weinberger
Published in: Journal of Topology, 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, 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, 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, 121/6, 2020, Page(s) 1619-1684, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12380

Three flavours of twisted knot invariants

Author(s): Dubois, J., Friedl, S., and Lück, W.
Published in: Introduction to modern mathematics Adv. Lect. Math. (ALM), 33, 2015, Page(s) 143-169
Publisher: International Press

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