| Private Homepage | https://wilhelm-winter.de |
| Selected Publications | • Castillejos, Jorge; Evington, Samuel; Tikuisis, Araon; White, Stuart; Winter, Wilhelm Nuclear dimension of simple C*-algebras. Inventiones Mathematicae Vol. 224, 2020 online • Christensen, Erik; Sinclair, Allen M.; Smith Roger R.; White, Stuart A.; Winter, Wilhelm Perturbations of nuclear C*-algebras. Acta Mathematica Vol. 208 (1), 2012, pp 93-150 online • Farah, Ilijas; Hart, Bradd; Lupini, Martino, Robert L.; Tikuisis, Aaron; Vignati, Alessandro; Winter, Wilhelm Model theory of C*-algebras. Memoirs of the American Mathematical Society Vol. 271 (1324), 2021 online • Sato, Yasuhiko; White, Stuart; Winter, Wilhelm Nuclear dimension and Z-stability. Inventiones Mathematicae Vol. 202 (2), 2015, pp 893-921 online • Tikuisis, Aaron; White, Stuart; Winter, Wilhelm Quasidiagonality of nuclear C*-algebras. Annals of Mathematics Vol. 185 (1), 2017, pp 229-284 online • Winter, Wilhelm Decomposition rank and Z-stability. Inventiones Mathematicae Vol. 179 (2), 2010 online • Winter, Wilhelm Nuclear dimension and Z-stability of pure C*-algebras. Inventiones Mathematicae Vol. 187 (2), 2012, pp 259-342 online • Winter, Wilhelm Classifying crossed product C*-algebras. American Journal of Mathematics Vol. 138 (3), 2016, pp 793-820 online • Winter, Wilhelm; Zacharias, Joachim The nuclear dimension of C*-algebras. Advances in Mathematics Vol. 224 (2), 2010, pp 461-498 online |
| Topics in Mathematics Münster | T1: K-Groups and cohomology T3: Models and universes T4: Groups and actions |
| Current Publications | • Farah, Ilijas; Hart, Bradd; Lupini, Martino, Robert L.; Tikuisis, Aaron; Vignati, Alessandro; Winter, Wilhelm Model theory of C*-algebras. Memoirs of the American Mathematical Society Vol. 271 (1324), 2021 online • Castillejos, Jorge; Evington, Samuel; Tikuisis, Araon; White, Stuart; Winter, Wilhelm Nuclear dimension of simple C*-algebras. Inventiones Mathematicae Vol. 224, 2020 online • Brake, Laura; Winter, Wilhelm The Toeplitz algebra has nuclear dimension one. Bulletin of the London Mathematical Society Vol. 51, 2019 online |
| Current Projects | • CRC 1442 - D01: Amenable dynamics via C*-algebras We study Cartan pairs of nuclear C*-algebras through their completely positive approximations. We are particularly interested in Cartan pairs for which the ambient C*-algebra is classifiable by K-theory data, and we explore first steps to classify such pairs themselves, at least under suitable additional conditions. • CRC 1442 - D05: C*-algebras, groups, and dynamics: beyond amenability Our project will explore the regularity properties of non-nuclear C*-algebras, with a particular emphasis on stable rank one and strict comparison. We focus on two main classes of examples: C*-algebras associated with non-amenable groups and crossed product C*-algebras arising from non-amenable actions on compact Hausdorff spaces. We intend to leverage dynamical tools, including dynamical comparison and the structure of topological full groups. • EXC 2044 - B3: Operator algebras & mathematical physics The development of operator algebras was largely motivated by physics since they provide the right mathematical framework for quantum mechanics. Since then, operator algebras have turned into a subject of their own. We will pursue the many fascinating connections to (functional) analysis, algebra, topology, group theory and logic, and eventually connect back to mathematical physics via random matrices and non-commutative geometry. online | wwinter@uni-muenster.de |
| Phone | +49 251 83-33756 |
| Room | 403 |
| Secretary | Elke Enning Frau Elke Enning Telefon +49 251 83-33088 Zimmer 402 |
| Address | Prof. Dr. Wilhelm Winter Mathematisches Institut Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
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