## Raum, Sven

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 Author ID: raum.sven Published as: Raum, Sven Homepage: http://raum-brothers.eu/sven/ External Links: MGP · ORCID
 Documents Indexed: 25 Publications since 2012 Reviewing Activity: 14 Reviews Co-Authors: 15 Co-Authors with 19 Joint Publications 124 Co-Co-Authors
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### Co-Authors

 6 single-authored 5 Kyed, David 4 Houdayer, Cyril 3 Weber, Moritz 2 Kennedy, Matthew 2 Koivisto, Juhani 2 Vaes, Stefaan 1 Barlak, Selçuk 1 Bichon, Julien 1 Boutonnet, Rémi 1 Eckhardt, Caleb 1 Falguières, Sébastien 1 Favre, Gabriel 1 Meesschaert, Niels 1 Salomon, Guy 1 Valvekens, Matthias
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### Serials

 2 Advances in Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Groups, Geometry, and Dynamics 1 Communications in Mathematical Physics 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Transformation Groups 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Noncommutative Geometry 1 Journal of Topology 1 Analysis & PDE 1 Forum of Mathematics, Sigma
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### Fields

 19 Functional analysis (46-XX) 10 Group theory and generalizations (20-XX) 10 Topological groups, Lie groups (22-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Associative rings and algebras (16-XX) 4 Abstract harmonic analysis (43-XX) 3 Combinatorics (05-XX) 3 Nonassociative rings and algebras (17-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Manifolds and cell complexes (57-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 146 times in 104 Documents Cited by Year
The full classification of orthogonal easy quantum groups. Zbl 1356.46061
Raum, Sven; Weber, Moritz
2016
Isomorphisms and fusion rules of orthogonal free quantum groups and their free complexifications. Zbl 1279.46052
Raum, Sven
2012
Easy quantum groups and quantum subgroups of a semi-direct product quantum group. Zbl 1350.46047
Raum, Sven; Weber, Moritz
2015
Amalgamated free product type III factors with at most one Cartan subalgebra. Zbl 1308.46067
Boutonnet, Rémi; Houdayer, Cyril; Raum, Sven
2014
Asymptotic structure of free Araki-Woods factors. Zbl 1339.46057
Houdayer, Cyril; Raum, Sven
2015
The combinatorics of an algebraic class of easy quantum groups. Zbl 1310.46062
Raum, Sven; Weber, Moritz
2014
Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions. Zbl 1321.37006
Meesschaert, Niels; Raum, Sven; Vaes, Stefaan
2013
$${C}^\ast$$-simplicity of locally compact powers groups. Zbl 1419.46035
Raum, Sven
2019
$$L^2$$-Betti numbers of rigid $$C^\ast$$-tensor categories and discrete quantum groups. Zbl 1378.46056
Kyed, David; Raum, Sven; Vaes, Stefaan; Valvekens, Matthias
2017
Tensor $$C^\ast$$-categories arising as bimodule categories of $$II_{1}$$ factors. Zbl 1273.46046
Falguières, Sébastien; Raum, Sven
2013
Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras. Zbl 1468.22016
Houdayer, Cyril; Raum, Sven
2019
Traces on reduced group $$C^{*}$$-algebras. Zbl 1382.22010
Kennedy, Matthew; Raum, Sven
2017
$${C}^{\ast}$$-superrigidity of 2-step nilpotent groups. Zbl 1405.46045
Eckhardt, Caleb; Raum, Sven
2018
On the $${\ell}^2$$-Betti numbers of universal quantum groups. Zbl 1427.16026
Kyed, David; Raum, Sven
2017
Higher $$\ell^2$$-Betti numbers of universal quantum groups. Zbl 1444.16043
Bichon, Julien; Kyed, David; Raum, Sven
2018
Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity. Zbl 1391.37002
Houdayer, Cyril; Raum, Sven
2015
Erratum to: “$$C^\ast$$-simplicity of locally compact powers groups”. Zbl 1472.46058
Raum, Sven
2021
Measure equivalence and coarse equivalence for unimodular locally compact groups. Zbl 07362828
Koivisto, Juhani; Kyed, David; Raum, Sven
2021
$$C^*$$-simplicity [after Breuillard, Haagerup, Kalantar, Kennedy and Ozawa]. Zbl 1480.46076
Raum, Sven
2020
Measure equivalence for non-unimodular groups. Zbl 07371503
Koivisto, Juhani; Kyed, David; Raum, Sven
2021
Erratum to: “$$C^\ast$$-simplicity of locally compact powers groups”. Zbl 1472.46058
Raum, Sven
2021
Measure equivalence and coarse equivalence for unimodular locally compact groups. Zbl 07362828
Koivisto, Juhani; Kyed, David; Raum, Sven
2021
Measure equivalence for non-unimodular groups. Zbl 07371503
Koivisto, Juhani; Kyed, David; Raum, Sven
2021
$$C^*$$-simplicity [after Breuillard, Haagerup, Kalantar, Kennedy and Ozawa]. Zbl 1480.46076
Raum, Sven
2020
$${C}^\ast$$-simplicity of locally compact powers groups. Zbl 1419.46035
Raum, Sven
2019
Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras. Zbl 1468.22016
Houdayer, Cyril; Raum, Sven
2019
$${C}^{\ast}$$-superrigidity of 2-step nilpotent groups. Zbl 1405.46045
Eckhardt, Caleb; Raum, Sven
2018
Higher $$\ell^2$$-Betti numbers of universal quantum groups. Zbl 1444.16043
Bichon, Julien; Kyed, David; Raum, Sven
2018
$$L^2$$-Betti numbers of rigid $$C^\ast$$-tensor categories and discrete quantum groups. Zbl 1378.46056
Kyed, David; Raum, Sven; Vaes, Stefaan; Valvekens, Matthias
2017
Traces on reduced group $$C^{*}$$-algebras. Zbl 1382.22010
Kennedy, Matthew; Raum, Sven
2017
On the $${\ell}^2$$-Betti numbers of universal quantum groups. Zbl 1427.16026
Kyed, David; Raum, Sven
2017
The full classification of orthogonal easy quantum groups. Zbl 1356.46061
Raum, Sven; Weber, Moritz
2016
Easy quantum groups and quantum subgroups of a semi-direct product quantum group. Zbl 1350.46047
Raum, Sven; Weber, Moritz
2015
Asymptotic structure of free Araki-Woods factors. Zbl 1339.46057
Houdayer, Cyril; Raum, Sven
2015
Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity. Zbl 1391.37002
Houdayer, Cyril; Raum, Sven
2015
Amalgamated free product type III factors with at most one Cartan subalgebra. Zbl 1308.46067
Boutonnet, Rémi; Houdayer, Cyril; Raum, Sven
2014
The combinatorics of an algebraic class of easy quantum groups. Zbl 1310.46062
Raum, Sven; Weber, Moritz
2014
Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions. Zbl 1321.37006
Meesschaert, Niels; Raum, Sven; Vaes, Stefaan
2013
Tensor $$C^\ast$$-categories arising as bimodule categories of $$II_{1}$$ factors. Zbl 1273.46046
Falguières, Sébastien; Raum, Sven
2013
Isomorphisms and fusion rules of orthogonal free quantum groups and their free complexifications. Zbl 1279.46052
Raum, Sven
2012
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### Cited by 83 Authors

 18 Banica, Teodor 10 Weber, Moritz 9 Freslon, Amaury 9 Raum, Sven 8 Houdayer, Cyril 7 Isono, Yusuke 6 Kyed, David 5 Gromada, Daniel 5 Ueda, Yoshimichi 5 Vaes, Stefaan 4 Chirvăsitu, Alexandru 3 Brannan, Michael 3 Suzuki, Yuhei 3 Tarrago, Pierre 2 Beltiţă, Daniel 2 Beltiţă, Ingrid 2 Chifan, Ionuţ 2 Crann, Jason 2 De Commer, Kenny 2 Deprez, Tobe 2 Koivisto, Juhani 2 Lemeux, François 2 Mang, Alexander 2 Marrakchi, Amine 2 Penneys, David 2 Verraedt, Peter 1 Armstrong, Becky 1 Bearden, Alex 1 Bhowmick, Jyotishman 1 Bowen, Lewis Phylip 1 Brothier, Arnaud 1 Carderi, Alessandro 1 Caspers, Martijn 1 Chen, Quan 1 Ciobotaru, Corina 1 Courtney, Kristin E. 1 de Santiago, Rolando 1 Drimbe, Daniel 1 Elzinga, Floris 1 Favre, Gabriel 1 Fima, Pierre 1 Gotfredsen, Thomas 1 Hasegawa, Kei 1 Hernández Palomares, Roberto 1 Ioana, Adrian 1 Jiang, Yongle 1 Jones, Corey 1 Jones, Vaughan Frederick Randal 1 Jung, Stefan 1 Kalantar, Mehrdad 1 Kanda, Tomohiro 1 Le Boudec, Adrien 1 Le Maître, François 1 Lin, Ying-Fen 1 Maaßen, Laura 1 Malacarne, Sara 1 Manor, Nicholas 1 McCormick, Kathryn 1 Meesschaert, Niels 1 Morrison, Scott 1 Neshveyev, Sergey V. 1 Omland, Tron Å. 1 Orloff Clark, Lisa 1 Ozawa, Narutaka 1 Patri, Issan 1 Petersen, Henrik Densing 1 Pittau, Lorenzo 1 Ramagge, Jacqui 1 Scarparo, Eduardo P. 1 Skalski, Adam G. 1 Snyder, Noah 1 Speicher, Roland 1 Sucpikarnon, Wanchalerm 1 Tomatsu, Reiji 1 Trom, Benjamin 1 Udrea, Bogdan Teodor 1 Valvekens, Matthias 1 Vergnioux, Roland 1 Wahl, Jonas 1 Wysoczańska-Kula, Anna 1 Xu, Tianyuan 1 Yamashita, Makoto 1 Yuan, Wei
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### Cited in 52 Serials

 9 Communications in Mathematical Physics 9 Journal of Functional Analysis 6 Advances in Mathematics 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Journal of Noncommutative Geometry 3 Journal für die Reine und Angewandte Mathematik 3 Transactions of the American Mathematical Society 3 International Journal of Mathematics 3 Algebras and Representation Theory 2 Journal of Geometry and Physics 2 Compositio Mathematica 2 Indiana University Mathematics Journal 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Algebraic Combinatorics 2 Annales Mathématiques Blaise Pascal 2 Transformation Groups 2 Analysis & PDE 2 Kyoto Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Selecta Mathematica. New Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Groups, Geometry, and Dynamics 1 Journal of Topology and Analysis 1 Forum of Mathematics, Sigma 1 Advances in Operator Theory
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### Cited in 18 Fields

 85 Functional analysis (46-XX) 34 Group theory and generalizations (20-XX) 22 Topological groups, Lie groups (22-XX) 12 Combinatorics (05-XX) 12 Nonassociative rings and algebras (17-XX) 11 Associative rings and algebras (16-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Category theory; homological algebra (18-XX) 6 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Probability theory and stochastic processes (60-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Global analysis, analysis on manifolds (58-XX)