Winter, Wilhelm Structure of nuclear \(C^*\)-algebras: from quasidiagonality to classification and back again. (English) Zbl 1462.46070 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1801-1823 (2018). MSC: 46L35 46L80 43A07 PDFBibTeX XMLCite \textit{W. Winter}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1801--1823 (2018; Zbl 1462.46070) Full Text: DOI arXiv
Tikuisis, Aaron; White, Stuart; Winter, Wilhelm Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras. (English) Zbl 1367.46044 Ann. Math. (2) 185, No. 1, 229-284 (2017). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L05 46L35 46L80 22D25 PDFBibTeX XMLCite \textit{A. Tikuisis} et al., Ann. Math. (2) 185, No. 1, 229--284 (2017; Zbl 1367.46044) Full Text: DOI arXiv
Winter, Wilhelm Localizing the Elliott conjecture at strongly self-absorbing \(C^*\)-algebras. (English) Zbl 1327.46058 J. Reine Angew. Math. 692, 193-231 (2014). Reviewer: Aaron Tikuisis (Münster) MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{W. Winter}, J. Reine Angew. Math. 692, 193--231 (2014; Zbl 1327.46058) Full Text: DOI arXiv
Toms, Andrew S.; Winter, Wilhelm Minimal dynamics and \(K\)-theoretic rigidity: Elliott’s conjecture. (English) Zbl 1280.46046 Geom. Funct. Anal. 23, No. 1, 467-481 (2013). MSC: 46L55 46L35 46L80 PDFBibTeX XMLCite \textit{A. S. Toms} and \textit{W. Winter}, Geom. Funct. Anal. 23, No. 1, 467--481 (2013; Zbl 1280.46046) Full Text: DOI arXiv
Winter, Wilhelm Decomposition rank and \(\mathcal{Z}\)-stability. (English) Zbl 1194.46104 Invent. Math. 179, No. 2, 229-301 (2010). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 46L35 PDFBibTeX XMLCite \textit{W. Winter}, Invent. Math. 179, No. 2, 229--301 (2010; Zbl 1194.46104) Full Text: DOI arXiv
Dadarlat, Marius; Hirshberg, Ilan; Toms, Andrew S.; Winter, Wilhelm The Jiang-Su algebra does not always embed. (English) Zbl 1180.46048 Math. Res. Lett. 16, No. 1, 23-26 (2009). MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{M. Dadarlat} et al., Math. Res. Lett. 16, No. 1, 23--26 (2009; Zbl 1180.46048) Full Text: DOI arXiv
Toms, Andrew S.; Winter, Wilhelm The Elliott conjecture for Villadsen algebras of the first type. (English) Zbl 1184.46061 J. Funct. Anal. 256, No. 5, 1311-1340 (2009). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{A. S. Toms} and \textit{W. Winter}, J. Funct. Anal. 256, No. 5, 1311--1340 (2009; Zbl 1184.46061) Full Text: DOI arXiv
Dadarlat, Marius; Winter, Wilhelm On the \(KK\)-theory of strongly self-absorbing \(C^*\)-algebras. (English) Zbl 1170.46065 Math. Scand. 104, No. 1, 95-107 (2009). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 46L05 PDFBibTeX XMLCite \textit{M. Dadarlat} and \textit{W. Winter}, Math. Scand. 104, No. 1, 95--107 (2009; Zbl 1170.46065) Full Text: DOI arXiv
Ng, Ping Wong; Winter, Wilhelm Commutative \(C^*\)-subalgebras of simple stably finite \(C^*\)-algebras with real rank zero. (English) Zbl 1173.46041 Indiana Univ. Math. J. 57, No. 7, 3209-3240 (2008). MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{P. W. Ng} and \textit{W. Winter}, Indiana Univ. Math. J. 57, No. 7, 3209--3240 (2008; Zbl 1173.46041) Full Text: DOI arXiv
Toms, Andrew S.; Winter, Wilhelm \(\mathcal{Z}\)-stable ASH algebras. (English) Zbl 1157.46034 Can. J. Math. 60, No. 3, 703-720 (2008). MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{A. S. Toms} and \textit{W. Winter}, Can. J. Math. 60, No. 3, 703--720 (2008; Zbl 1157.46034) Full Text: DOI arXiv
Winter, Wilhelm Simple \(C^{*}\)-algebras with locally finite decomposition rank. (English) Zbl 1121.46047 J. Funct. Anal. 243, No. 2, 394-425 (2007). MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{W. Winter}, J. Funct. Anal. 243, No. 2, 394--425 (2007; Zbl 1121.46047) Full Text: DOI arXiv
Toms, Andrew S.; Winter, Wilhelm Strongly self-absorbing \(C^*\)-algebras. (English) Zbl 1120.46046 Trans. Am. Math. Soc. 359, No. 8, 3999-4029 (2007). MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{A. S. Toms} and \textit{W. Winter}, Trans. Am. Math. Soc. 359, No. 8, 3999--4029 (2007; Zbl 1120.46046) Full Text: DOI arXiv
Winter, Wilhelm On the classification of simple \({{\mathcal Z}}\)-stable \(C^{*}\)-algebras with real rank zero and finite decomposition rank. (English) Zbl 1104.46034 J. Lond. Math. Soc., II. Ser. 74, No. 1, 167-183 (2006). MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{W. Winter}, J. Lond. Math. Soc., II. Ser. 74, No. 1, 167--183 (2006; Zbl 1104.46034) Full Text: DOI arXiv
Winter, Wilhelm On topologically finite-dimensional simple \(C^*\)-algebras. (English) Zbl 1089.46039 Math. Ann. 332, No. 4, 843-878 (2005). MSC: 46L35 46L80 19K14 PDFBibTeX XMLCite \textit{W. Winter}, Math. Ann. 332, No. 4, 843--878 (2005; Zbl 1089.46039) Full Text: DOI arXiv