Dr Christian Voigt
- Senior Lecturer in Mathematics (Mathematics)
telephone: 0141 330 2221
email: Christian.Voigt@glasgow.ac.uk
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https://orcid.org/0000-0003-3225-5633Research interests
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.
Research Groups
Publications
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)
Articles
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)
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.
Supervision
School of Mathematics, and Statistics, Mathematics building, Room 328,