Research Interests
$\bullet$ Operator algebras and noncommutative geometry.
$\bullet$ Structure and classification of nuclear C$^{*}$-algebras.
$\bullet$ Topological dynamics.
$\bullet$ Noncommutative dynamical systems.
$\bullet$ Operator algebras and model theory.
Recent Publications of Prof. Dr. Wilhelm Winter
$\bullet $ Grigoris Kopsacheilis and Wilhelm Winter. Diagonal comparison of ample c*-diagonals. arXiv e-prints, October 2024. arXiv:2410.05967.
$\bullet $ Philipp Sibbel and Wilhelm Winter. A Cantor spectrum diagonal in O$_2$. arXiv e-prints, September 2024. arXiv:2409.03511.
$\bullet $ Kristin Courtney and Wilhelm Winter. Images of order zero maps. arXiv e-prints, December 2023. arXiv:2312.08215.
$\bullet $ Kristin Courtney and Wilhelm Winter. Nuclearity and CPC$^*$-systems. arXiv e-prints, April 2023. arXiv:2304.01332.
$\bullet $ Kang Li, Hung-Chang Liao, and Wilhelm Winter. The diagonal dimension of sub-$\mathrm C^*$-algebras. arXiv e-prints, March 2023. arXiv:2303.16762.
$\bullet $ Ilijas Farah, Bradd Hart, Martino Lupini, Leonel Robert, Aaron Tikuisis, Alessandro Vignati, and Wilhelm Winter. Model theory of $\rm C^*$-algebras. Mem. Amer. Math. Soc., 271(1324):viii+127, May 2021. doi:10.1090/memo/1324.
$\bullet $ Jorge Castillejos, Samuel Evington, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Nuclear dimension of simple C$^*$-algebras. Inventiones mathematicae, 224(1):245–290, April 2021. doi:10.1007/s00222-020-01013-1.
$\bullet $ Laura Brake and Wilhelm Winter. The Toeplitz algebra has nuclear dimension one. Bull. Lond. Math. Soc., 51(3):554–562, April 2019. doi:10.1112/blms.12250.
$\bullet $ Joan Bosa, Nathanial P. Brown, Yasuhiko Sato, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Covering dimension of $\rm C^*$-algebras and 2-coloured classification. Mem. Amer. Math. Soc., 257(1233):vii+97, January 2019. doi:10.1090/memo/1233.