Wilhelm Winter

Professor of Theoretical Mathematics

publications and preprints


arXiv                                                                                    MathSciNet


[52] J. Bosa, N. Brown, Y. Sato, A. Tikuisis, S. White and W. Winter. Covering dimension of C*-algebras and 2-coloured classification. Mem. Amer. Math. Soc., Vol. 257(1233), 97 pages, 2019.


[51] J. Castillejos, S. Evington, A. Tikuisis, S. White and W. Winter. Nuclear dimension of simple C*-algebras. arXiv preprint 1901.05853; 2019.


[50] L. Brake and W. Winter. The Toeplitz algebra has nuclear dimension one. Bull. LMS, 51:554–562, 2019.


[49] W. Winter. Structure of nuclear C*-algebras: From quasidiagonality to classification, and back again. in: Proceedings of the ICM 2018, Rio de Janeiro, Vol. 2, 1797–1820, 2017.


[48] A. Tikuisis, S. White and W. Winter. Quasidiagonality of nuclear C*-algebras. Ann. of Math. (2), 185:229–284, 2017.


[47] I. Hirshberg, G. Szabó, W. Winter, J. Wu. Rokhlin dimension for flows. Comm. Math. Phys., 353:253–316, 2017.


[46] W. Winter. QDQ vs. UCT. In Abel Symposia 12: “Operator Algebras and Applications: The Abel Symposium 2015”, pp. 321–342, Springer, 2016.


[45] W. Winter. Classifying crossed product C*-algebras. Amer. J. Math., 138:793–820, 2016.


[44] I. Farah, B. Hart, M. Lupini, L. Robert, A. Tikuisis, A. Vignati, W. Winter. The model theory of nuclear C*-algebras. arXiv preprint 1602.08072, to appear in Mem. Amer. Math. Soc.; 2016.


[43] Y. Sato, S. White and W. Winter. Nuclear dimension and Z-stability. Invent. Math., 202:893–921, 2015.


[42] S. Barlak, D. Enders, H. Matui, G. Szabó and W. Winter. The Rokhlin propery vs. Rokhlin dimension 1 on unital Kirchberg algebras. J. Noncomm. Geom., 9:1383–1393, 2015.


[41] A. S. Toms, S. White and W. Winter. Z-stability and finite dimensional tracial boundaries. Int. Math. Res. Not., 2015:2702–2727, 2015.


[40] I. Hirshberg, W. Winter and J. Zacharias. Rokhlin dimension and C*-dynamics. Comm. Math. Phys., 335:637–670, 2015.


[39] W.Winter. Localizing the Elliott conjecture at strongly self-absorbing C*-algebras. With an appendix by H. Lin. J. Reine Angew. Math., 692:193–231, 2014.


[38] F. Perera, A. S. Toms, S. White and W. Winter. The Cuntz semigroup and stability of close C*-algebras. Analysis & PDE, 7:929–952, 2014. 


[37] A. Tikuisis and W. Winter. Decomposition rank of Z-stable C*-algebras. Analysis & PDE, 7:673–700, 2014.


[36] K. R. Strung and W. Winter. UHF slicing and classification of nuclear C*-algebras. J. Top. Anal., 6:465–540, 2014.


[35] B. Jacelon and W. Winter. Z is universal. J. Noncomm. Geom., 8:1023–1042, 2014.


[34] H. Thiel and W. Winter. The generator problem for Z-stable C*-algebras. Trans. Amer. Math. Soc., 366:2327–2343, 2014.


[33] A.S. Toms and W.Winter. Minimal dynamics and K-theoretic rigidity: Elliott’s conjecture. GAFA, 23:467–481, 2013.


[32] E. Christensen, A. Sinclair, R. Smith, S. White and W.Winter. Perturbations of nuclear C*-algebras. Acta Math., 208:93–150, 2012.


[31] W. Winter. Nuclear dimension and Z-stability of pure C*-algebras. Invent. Math., 187:259–342, 2012.


[30] M. Johanesova and W. Winter. The similarity problem for Z-stable C*-algebras. Bull. LMS, 44:1215–1220, 2012.


[29] B. Blackadar, L. Robert, A. Tikuisis, A. S. Toms and W. Winter. An algebraic approach to the radius of comparison. Trans. Amer. Math. Soc., 367:3657–3674, 2012.


[28] N. P. Brown and W. Winter. Quasitraces are traces: a simple proof in the finite-nuclear-dimension case. C. R. Acad. Sci. Canada, 33:44–49, 2011.


[27] W.Winter. Strongly self-absorbing C*-algebras are Z-stable. J. Noncomm. Geom., 5(2):253–264, 2011.


[26] K. R. Strung and W. Winter. Minimal dynamics and Z-stable classification. Internat. J. Math., 22(1):1–23, 2011.


[25] M.Rørdam and W.Winter. The Jiang–Su algebra revisited. J. Reine Angew. Math., 642:129–155, 2010.


[24] W.Winter and J.Zacharias. The nuclear dimension of C*-algebras. Adv. Math., 224:461–498, 2010.


[23] W.Winter. Decomposition rank and Z-stability. Invent. Math., 179:229–301, 2010.


[22] P.W. Ng and W.Winter. Nuclear dimension and the corona factorization property. Int. Math. Res. Not., 2010:261–278, 2010.


[21] E. Christensen, A. Sinclair, R. Smith, S. White and W.Winter. The spatial isomorphism problem for close nuclear C*-algebras. Proc. Natl. Acad. Sci. USA, 107(2):587–591, 2010.


[20] W.Winter and J.Zacharias. Completely positive maps of order zero. Münster J. Math., 2:311–324, 2009.


[19] W.Winter. Covering dimension for nuclear C*-algebras II. Trans. Amer. Math. Soc., 361(8):4143–4167, 2009.


[18] A.S. Toms and W.Winter. The Elliott conjecture for Villadsen algebras of the first type. J. Funct. Anal., 256(5):1311–1340, 2009.


[17] A.S. Toms and W.Winter. Minimal dynamics and the classification of C*-algebras. Proc. Natl. Acad. Sci. USA, 106(40):16942–16943, 2009.


[16] M.Dădărlat and W.Winter. On the KK-theory of strongly self-absorbing C*-algebras. Math. Scand., 104(1):95–107, 2009.


[15] M.Dădărlat, I.Hirshberg, A.S. Toms, and W.Winter. The Jiang–Su algebra does not always embed. Math. Res. Lett., 16(1):23–26, 2009.


[14] A.S. Toms and W.Winter. Z-stable ASH algebras. Canad. J. Math., 60(3):703–720, 2008.


[13] P.W. Ng and W.Winter. Commutative -subalgebras of simple stably finite C*-algebras with real rank zero. Indiana Univ. Math. J., 57:3209–3240, 2008.


[12] I.Hirshberg and W.Winter. Permutations of strongly self-absorbing C*-algebras. Internat. J. Math., 19(9):1137–1145, 2008.


[11] M.Dădărlat and W.Winter. Trivialization of C(X)-algebras with strongly self-absorbing fibres. Bull. Soc. Math. France, 136(4):575–606, 2008.


[10] W.Winter. Simple C*-algebras with locally finite decomposition rank. J. Funct. Anal., 243:394–425, 2007.


[09] A.S. Toms and W.Winter. Strongly self-absorbing C*-algebras. Trans. Amer. Math. Soc., 359(8):3999–4029 (electronic), 2007.


[08] I.Hirshberg and W.Winter. Rokhlin actions and self-absorbing C*-algebras. Pacific J. Math., 233(1):125–143, 2007.


[07] I.Hirshberg, M.Rørdam, and W.Winter. C*-algebras, stability and strongly self-absorbing C*-algebras. Math. Ann., 339(3):695–732, 2007.


[06] W.Winter. On the classification of simple Z-stable C*-algebras with real rank zero and finite decomposition rank. J. London Math. Soc. (2), 74(1):167–183, 2006.


[05] P.W. Ng and W.Winter. A note on subhomogeneous C*-algebras. C. R. Acad. Sci. Canada, 28:91–96, 2006.


[04] W.Winter. On topologically finite dimensional simple C*-algebras. Math. Ann., 332:843–878, 2005.


[03] W.Winter. Decomposition rank of subhomogeneous C*-algebras. Proc. London Math. Soc., 89:427–456, 2004.


[02] E.Kirchberg and W.Winter. Covering dimension and quasidiagonality. Internat. J. Math., 15:63–85, 2004.


[01] W.Winter. Covering dimension for nuclear C*-algebras. J. Funct. Anal., 199(2):535–556, 2003.