Professor Christian Voigt

  • Professor of Mathematics (Mathematics)

telephone: 0141 330 2221
email: Christian.Voigt@glasgow.ac.uk
pronouns: He/him/his

School of Mathematics, and Statistics, Mathematics building, Room 328

Import to contacts

ORCID iDhttps://orcid.org/0000-0003-3225-5633

Research interests

My research area is noncommutative geometry, a modern part of mathematics with connections to classical disciplines like number theory, topology and mathematical physics. I work in particular on problems in operator K-theory, cyclic cohomology and the theory of quantum groups.

For more information see my personal webpage.



Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2022 | 2020 | 2019 | 2017 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007
Number of items: 24.

2024

Daws, M., Krajczok, J. and Voigt, C. (2024) The approximation property for locally compact quantum groups. Advances in Mathematics, 438, 109452. (doi: 10.1016/j.aim.2023.109452)

2023

Skalski, A., Vergnioux, R. and Voigt, C. (2023) Hecke algebras and the Schlichting completion for discrete quantum groups. Journal of the London Mathematical Society, 107(3), pp. 843-885. (doi: 10.1112/jlms.12701)

Voigt, C. (2023) Infinite quantum permutations. Advances in Mathematics, 415, 108887. (doi: 10.1016/j.aim.2023.108887)

Voigt, C. and Yuncken, R. (2023) The Plancherel formula for complex semisimple quantum groups. Annales Scientifiques de l'École Normale Supérieure, 56(1), pp. 299-322. (doi: 10.24033/asens.2535)

2022

Voigt, C. (2022) On the assembly map for complex semisimple quantum groups. International Mathematics Research Notices, 2022(13), pp. 9603-9632. (doi: 10.1093/imrn/rnaa370)

Brannan, M., Eifler, K., Voigt, C. and Weber, M. (2022) Quantum Cuntz-Krieger algebras. Transactions of the American Mathematical Society, 9, pp. 782-826. (doi: 10.1090/btran/88)

2020

Antoun, J. and Voigt, C. (2020) On bicolimits of C*-categories. Theory and Applications of Categories, 35(46), pp. 1683-1725.

Voigt, C. and Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory. Series: Lecture notes in mathematics, 2264. Springer: Cham. ISBN 9783030524623 (doi: 10.1007/978-3-030-52463-0)

2019

Monk, A. and Voigt, C. (2019) Complex quantum groups and a deformation of the Baum-Connes assembly map. Transactions of the American Mathematical Society, 371, pp. 8849-8877. (doi: 10.1090/tran/7774)

2017

Voigt, C. (2017) On the structure of quantum automorphism groups. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)

Barlak, S., Szabo, G. and Voigt, C. (2017) The spatial Rokhlin property for actions of compact quantum groups. Journal of Functional Analysis, 272(6), pp. 2308-2360. (doi: 10.1016/j.jfa.2016.09.023)

2015

Bhowmick, J., Voigt, C. and Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay. Journal of Noncommutative Geometry, 9(4), pp. 1175-1200. (doi: 10.4171/JNCG/220)

Voigt, C. and Yuncken, R. (2015) Equivariant Fredholm modules for the full quantum flag manifold of SUq(3). Documenta Mathematica, 20, pp. 433-490.

2014

Voigt, C. (2014) Cyclic cohomology and Baaj-Skandalis duality. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 13(1), pp. 115-145. (doi: 10.1017/is013012001jkt248)

2013

Vergnioux, R. and Voigt, C. (2013) The K-theory of free quantum groups. Mathematische Annalen, 357(1), pp. 355-400. (doi: 10.1007/s00208-013-0902-9)

2012

Voigt, C. (2012) Quantum SU(2) and the Baum-Connes conjecture. Banach Centre Publications, 98, pp. 417-432. (doi: 10.4064/bc98-0-17)

2011

Voigt, C. (2011) The Baum-Connes conjecture for free orthogonal quantum groups. Advances in Mathematics, 227(5), pp. 1873-1913. (doi: 10.1016/j.aim.2011.04.008)

2010

Nest, R. and Voigt, C. (2010) Equivariant Poincaré duality for quantum group actions. Journal of Functional Analysis, 258(5), pp. 1466-1503. (doi: 10.1016/j.jfa.2009.10.015)

2009

Voigt, C. (2009) Chern character for totally disconnected groups. Mathematische Annalen, 343(3), pp. 507-540. (doi: 10.1007/s00208-008-0281-9)

2008

Voigt, C. (2008) Bornological quantum groups. Pacific Journal of Mathematics, 235(1), pp. 93-135. (doi: 10.2140/pjm.2008.235.93)

Voigt, C. (2008) A new description of equivariant cohomology for totally disconnected groups. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 1(3), pp. 431-472. (doi: 10.1017/is007011019jkt020)

Voigt, C. (2008) Equivariant cyclic homology for quantum groups. In: ICM Satellite Conference on K-theory and Noncommutative Geometry, Valladolid, pp. 151-179.

2007

Voigt, C. (2007) Equivariant local cyclic homology and the equivariant Chern-Connes character. Documenta Mathematica, 12, 313-359 (electronic).

Voigt, C. (2007) Equivariant periodic cyclic homology. Journal of the Institute of Mathematics of Jussieu, 6(4), pp. 689-763. (doi: 10.1017/S1474748007000102)

This list was generated on Tue Feb 20 15:02:55 2024 GMT.
Number of items: 24.

Articles

Daws, M., Krajczok, J. and Voigt, C. (2024) The approximation property for locally compact quantum groups. Advances in Mathematics, 438, 109452. (doi: 10.1016/j.aim.2023.109452)

Skalski, A., Vergnioux, R. and Voigt, C. (2023) Hecke algebras and the Schlichting completion for discrete quantum groups. Journal of the London Mathematical Society, 107(3), pp. 843-885. (doi: 10.1112/jlms.12701)

Voigt, C. (2023) Infinite quantum permutations. Advances in Mathematics, 415, 108887. (doi: 10.1016/j.aim.2023.108887)

Voigt, C. and Yuncken, R. (2023) The Plancherel formula for complex semisimple quantum groups. Annales Scientifiques de l'École Normale Supérieure, 56(1), pp. 299-322. (doi: 10.24033/asens.2535)

Voigt, C. (2022) On the assembly map for complex semisimple quantum groups. International Mathematics Research Notices, 2022(13), pp. 9603-9632. (doi: 10.1093/imrn/rnaa370)

Brannan, M., Eifler, K., Voigt, C. and Weber, M. (2022) Quantum Cuntz-Krieger algebras. Transactions of the American Mathematical Society, 9, pp. 782-826. (doi: 10.1090/btran/88)

Antoun, J. and Voigt, C. (2020) On bicolimits of C*-categories. Theory and Applications of Categories, 35(46), pp. 1683-1725.

Monk, A. and Voigt, C. (2019) Complex quantum groups and a deformation of the Baum-Connes assembly map. Transactions of the American Mathematical Society, 371, pp. 8849-8877. (doi: 10.1090/tran/7774)

Voigt, C. (2017) On the structure of quantum automorphism groups. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)

Barlak, S., Szabo, G. and Voigt, C. (2017) The spatial Rokhlin property for actions of compact quantum groups. Journal of Functional Analysis, 272(6), pp. 2308-2360. (doi: 10.1016/j.jfa.2016.09.023)

Bhowmick, J., Voigt, C. and Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay. Journal of Noncommutative Geometry, 9(4), pp. 1175-1200. (doi: 10.4171/JNCG/220)

Voigt, C. and Yuncken, R. (2015) Equivariant Fredholm modules for the full quantum flag manifold of SUq(3). Documenta Mathematica, 20, pp. 433-490.

Voigt, C. (2014) Cyclic cohomology and Baaj-Skandalis duality. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 13(1), pp. 115-145. (doi: 10.1017/is013012001jkt248)

Vergnioux, R. and Voigt, C. (2013) The K-theory of free quantum groups. Mathematische Annalen, 357(1), pp. 355-400. (doi: 10.1007/s00208-013-0902-9)

Voigt, C. (2012) Quantum SU(2) and the Baum-Connes conjecture. Banach Centre Publications, 98, pp. 417-432. (doi: 10.4064/bc98-0-17)

Voigt, C. (2011) The Baum-Connes conjecture for free orthogonal quantum groups. Advances in Mathematics, 227(5), pp. 1873-1913. (doi: 10.1016/j.aim.2011.04.008)

Nest, R. and Voigt, C. (2010) Equivariant Poincaré duality for quantum group actions. Journal of Functional Analysis, 258(5), pp. 1466-1503. (doi: 10.1016/j.jfa.2009.10.015)

Voigt, C. (2009) Chern character for totally disconnected groups. Mathematische Annalen, 343(3), pp. 507-540. (doi: 10.1007/s00208-008-0281-9)

Voigt, C. (2008) Bornological quantum groups. Pacific Journal of Mathematics, 235(1), pp. 93-135. (doi: 10.2140/pjm.2008.235.93)

Voigt, C. (2008) A new description of equivariant cohomology for totally disconnected groups. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 1(3), pp. 431-472. (doi: 10.1017/is007011019jkt020)

Voigt, C. (2007) Equivariant local cyclic homology and the equivariant Chern-Connes character. Documenta Mathematica, 12, 313-359 (electronic).

Voigt, C. (2007) Equivariant periodic cyclic homology. Journal of the Institute of Mathematics of Jussieu, 6(4), pp. 689-763. (doi: 10.1017/S1474748007000102)

Books

Voigt, C. and Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory. Series: Lecture notes in mathematics, 2264. Springer: Cham. ISBN 9783030524623 (doi: 10.1007/978-3-030-52463-0)

Conference Proceedings

Voigt, C. (2008) Equivariant cyclic homology for quantum groups. In: ICM Satellite Conference on K-theory and Noncommutative Geometry, Valladolid, pp. 151-179.

This list was generated on Tue Feb 20 15:02:55 2024 GMT.

Supervision