Research Interests
$\bullet$ Algebraic $K$-and $L$-theory.
$\bullet$ Geometric group theory.
$\bullet$ Conformal nets, topological quantum field theory.
• Bartels, A. Coarse flow spaces for relatively hyperbolic groups. Compositio Mathematica Vol. 153 (4), 2017, pp 745-779 online
• Bartels, A.; Farrell, F.T.; Lück, W. The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. Journal of the American Mathematical Society Vol. 27 (2), 2014, pp 339-388 online
• Bartels, A.; Bestvina, M. The Farrell-Jones conjecture for mapping class groups. Inventiones Mathematicae Vol. 215 (2), 2019, pp 651-712 online
• Bartels, A.; Douglas, C.L.; Henriques, A. Fusion of defects. Memoirs of the American Mathematical Society Vol. 258, 2019, pp vii+100 online
• Bartels, A.; Douglas, C.L.; Henriques; A. Conformal nets V: Dualizability. Communications in Mathematical Physics Vol. 391 (1), 2022 online
• Bartels A, Douglas CL, Henriques A Conformal nets II: Conformal blocks. Communications in Mathematical Physics Vol. 354 (1), 2017, pp 393-458 online
• Bartels, A.; Lück, W. The Borel Conjecture for hyperbolic and CAT(0)-groups. Annals of Mathematics Vol. 175 (2), 2012, pp 631-689 online
• Bartels, A.; Lück, W.; Reich, H. The K-theoretic Farrell-Jones conjecture for hyperbolic groups. Inventiones Mathematicae Vol. 172 (1), 2008 online
• Bartels, A.; Lück, W.; Weinberger, S. On hyperbolic groups with spheres as boundary. Journal of Differential Geometry Vol. 86 (1), 2010, pp 1-16 online
• Bartels, A.; Reich, H. On the Farrell-Jones conjecture for higher algebraic K-theory. Journal of the American Mathematical Society Vol. 18 (3), 2005, pp 501--545 (electronic) online
Recent Publications of Prof. Dr. Arthur Bartels
$\bullet $ Arthur Bartels, Wolfgang Lueck, and Stefan Witzel. Algebraic K-theory of completed Kac-Moody groups. arXiv e-prints, December 2024. arXiv:2412.05105.
$\bullet $ Arthur Bartels and Wolfgang Lueck. Algebraic $\mathrm K$-theory of reductive $p$-adic groups. arXiv e-prints, June 2023. arXiv:2306.03452.
$\bullet $ Arthur Bartels and Wolfgang Lueck. Inheritance properties of the Farrell-Jones conjecture for totally disconnected groups. arXiv e-prints, June 2023. arXiv:2306.01518.
$\bullet $ Arthur Bartels and Wolfgang Lueck. Recipes to compute the algebraic $\mathrm K$-theory of Hecke algebras of reductive $p$-adic groups. arXiv e-prints, June 2023. arXiv:2306.01510.
$\bullet $ Arthur Bartels and Wolfgang Lueck. Almost equivariant maps for td-groups. arXiv e-prints, June 2023. arXiv:2306.00727.
$\bullet $ Arthur Bartels and Wolfgang Lück. On the algebraic $\mathrm K$-theory of Hecke algebras. In Mathematics Going Forward, Lecture Notes in Mathematics, pages 241–277. Springer International Publishing, January 2023. doi:10.1007/978-3-031-12244-6_19.
$\bullet $ Arthur Bartels, Christopher L. Douglas, and André Henriques. Conformal nets V: Dualizability. Comm. Math. Phys., 391(1):1–31, February 2022. doi:10.1007/s00220-021-04212-w.
$\bullet $ Arthur Bartels and Wolfgang Lueck. Vanishing of Nil-terms and negative K-theory for additive categories. arXiv e-prints, February 2020. arXiv:2002.03412v1.
$\bullet $ Arthur Bartels, Christopher L. Douglas, and André Henriques. Fusion of defects. Mem. Amer. Math. Soc., 258(1237):vii+100, March 2019. doi:10.1090/memo/1237.
$\bullet $ Arthur Bartels and Mladen Bestvina. The Farrell-Jones conjecture for mapping class groups. Invent. Math., 215(2):651–712, January 2019. doi:10.1007/s00222-018-0834-9.