Gong, Guihua; Lin, Huaxin On classification of nonunital amenable simple \(C^\ast\)-algebras. III: The range and the reduction. (English) Zbl 1507.46040 Ann. \(K\)-Theory 7, No. 2, 279-384 (2022). Reviewer: Xin Li (Glasgow) MSC: 46L35 46L05 PDFBibTeX XMLCite \textit{G. Gong} and \textit{H. Lin}, Ann. \(K\)-Theory 7, No. 2, 279--384 (2022; Zbl 1507.46040) Full Text: DOI arXiv
Fu, Xuanlong; Lin, Huaxin Nonamenable simple \(C^*\)-algebras with tracial approximation. (English) Zbl 1497.46066 Forum Math. Sigma 10, Paper No. e14, 50 p. (2022). Reviewer: Jorge Castillejos (Leuven) MSC: 46L35 PDFBibTeX XMLCite \textit{X. Fu} and \textit{H. Lin}, Forum Math. Sigma 10, Paper No. e14, 50 p. (2022; Zbl 1497.46066) Full Text: DOI arXiv
Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension. (English) Zbl 1465.46059 J. Geom. Phys. 158, Article ID 103861, 51 p. (2020). MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{G. A. Elliott} et al., J. Geom. Phys. 158, Article ID 103861, 51 p. (2020; Zbl 1465.46059) Full Text: DOI arXiv
Hu, Shanwen; Lin, Huaxin Convex hulls of unitary orbits of normal elements in \(C^\ast\)-algebras with tracial rank zero. (English) Zbl 1444.46035 J. Funct. Anal. 278, No. 2, Article ID 108306, 51 p. (2020). MSC: 46L05 46L35 PDFBibTeX XMLCite \textit{S. Hu} and \textit{H. Lin}, J. Funct. Anal. 278, No. 2, Article ID 108306, 51 p. (2020; Zbl 1444.46035) Full Text: DOI arXiv
Lin, Huaxin; Sun, Wei Tensor products of classifiable \(C^\ast\)-algebras. (English) Zbl 1380.46047 J. Topol. Anal. 9, No. 3, 485-504 (2017). MSC: 46L35 PDFBibTeX XMLCite \textit{H. Lin} and \textit{W. Sun}, J. Topol. Anal. 9, No. 3, 485--504 (2017; Zbl 1380.46047) Full Text: DOI arXiv
Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras. (English) Zbl 1380.46046 J. Funct. Anal. 272, No. 12, 5307-5359 (2017). Reviewer: Xin Li (London) MSC: 46L35 46L05 PDFBibTeX XMLCite \textit{G. A. Elliott} et al., J. Funct. Anal. 272, No. 12, 5307--5359 (2017; Zbl 1380.46046) Full Text: DOI arXiv
Lin, Huaxin Homomorphisms from AH-algebras. (English) Zbl 1370.46035 J. Topol. Anal. 9, No. 1, 67-125 (2017). MSC: 46L35 PDFBibTeX XMLCite \textit{H. Lin}, J. Topol. Anal. 9, No. 1, 67--125 (2017; Zbl 1370.46035) Full Text: DOI arXiv
Lin, H.; Niu, Z. Asymptotic unitary equivalence in \(C^\ast\)-algebras. (English) Zbl 1344.46039 Russ. J. Math. Phys. 22, No. 3, 336-360 (2015). MSC: 46L05 46L30 PDFBibTeX XMLCite \textit{H. Lin} and \textit{Z. Niu}, Russ. J. Math. Phys. 22, No. 3, 336--360 (2015; Zbl 1344.46039) Full Text: DOI arXiv
Hu, Shanwen; Lin, Huaxin Distance between unitary orbits of normal elements in simple \(C^\ast\)-algebras of real rank zero. (English) Zbl 1325.46056 J. Funct. Anal. 269, No. 2, 355-437 (2015). MSC: 46L05 37A55 PDFBibTeX XMLCite \textit{S. Hu} and \textit{H. Lin}, J. Funct. Anal. 269, No. 2, 355--437 (2015; Zbl 1325.46056) Full Text: DOI arXiv
Lin, Huaxin On locally AH algebras. (English) Zbl 1327.46057 Mem. Am. Math. Soc. 1107, v, 109 p. (2015). MSC: 46L35 46L05 PDFBibTeX XMLCite \textit{H. Lin}, On locally AH algebras. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1327.46057) Full Text: DOI arXiv
Lin, Huaxin Exponentials in simple \(\mathcal Z\)-stable \(C^\ast\)-algebras. (English) Zbl 1296.46047 J. Funct. Anal. 266, No. 2, 754-791 (2014). MSC: 46L05 PDFBibTeX XMLCite \textit{H. Lin}, J. Funct. Anal. 266, No. 2, 754--791 (2014; Zbl 1296.46047) Full Text: DOI
Fang, Junsheng; Jiang, Chunlan; Lin, Huaxin; Xu, Feng On generalized universal irrational rotation algebras and associated strongly irreducible operators. (English) Zbl 1292.46041 Int. J. Math. 24, No. 8, Article ID 1350059, 35 p. (2013). Reviewer: Zhuang Niu (Laramie) MSC: 46L35 46L55 46L80 47C15 PDFBibTeX XMLCite \textit{J. Fang} et al., Int. J. Math. 24, No. 8, Article ID 1350059, 35 p. (2013; Zbl 1292.46041) Full Text: DOI
Lin, Huaxin Approximate unitary equivalence in simple \(C^{\ast}\)-algebras of tracial rank one. (English) Zbl 1250.46040 Trans. Am. Math. Soc. 364, No. 4, 2021-2086 (2012). Reviewer: Takahiro Sudo (Nishihara) MSC: 46L35 46L05 46L80 PDFBibTeX XMLCite \textit{H. Lin}, Trans. Am. Math. Soc. 364, No. 4, 2021--2086 (2012; Zbl 1250.46040) Full Text: DOI arXiv
Lin, Huaxin Asymptotic unitary equivalence and classification of simple amenable \(C^{\ast}\)-algebras. (English) Zbl 1255.46031 Invent. Math. 183, No. 2, 385-450 (2011). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{H. Lin}, Invent. Math. 183, No. 2, 385--450 (2011; Zbl 1255.46031) Full Text: DOI
Lin, Huaxin; Niu, Zhuang The range of a class of classifiable separable simple amenable \(C^{*}\)-algebras. (English) Zbl 1213.46057 J. Funct. Anal. 260, No. 1, 1-29 (2011). Reviewer: Kui Ji (Shijiazhuang) MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{H. Lin} and \textit{Z. Niu}, J. Funct. Anal. 260, No. 1, 1--29 (2011; Zbl 1213.46057) Full Text: DOI arXiv
Lin, Huaxin Approximate homotopy of homomorphisms form \(C(X)\) into a simple \(C^*\)-algebra. (English) Zbl 1205.46037 Mem. Am. Math. Soc. 963, v, 131 p. (2010). Reviewer: Takahiro Sudo (Nishihara) MSC: 46L35 46L05 46L80 46-02 PDFBibTeX XMLCite \textit{H. Lin}, Approximate homotopy of homomorphisms form \(C(X)\) into a simple \(C^*\)-algebra. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1205.46037) Full Text: DOI arXiv
Lin, Huaxin Inductive limits of subhomogeneous \(C^{*}\)-algebras with Hausdorff spectrum. (English) Zbl 1194.46084 J. Funct. Anal. 258, No. 6, 1909-1932 (2010). MSC: 46L35 PDFBibTeX XMLCite \textit{H. Lin}, J. Funct. Anal. 258, No. 6, 1909--1932 (2010; Zbl 1194.46084) Full Text: DOI arXiv
Lin, Huaxin The range of approximate unitary equivalence classes of homomorphisms from AH-algebras. (English) Zbl 1209.46036 Math. Z. 263, No. 4, 903-922 (2009). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L35 19K14 19K33 19K35 46L80 PDFBibTeX XMLCite \textit{H. Lin}, Math. Z. 263, No. 4, 903--922 (2009; Zbl 1209.46036) Full Text: DOI arXiv
Lin, Huaxin; Niu, Zhuang Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras. (English) Zbl 1162.46033 Adv. Math. 219, No. 5, 1729-1769 (2008). Reviewer: Gabriel Larotonda (Buenos Aires) MSC: 46L35 19K35 46L80 46M20 46M40 PDFBibTeX XMLCite \textit{H. Lin} and \textit{Z. Niu}, Adv. Math. 219, No. 5, 1729--1769 (2008; Zbl 1162.46033) Full Text: DOI arXiv
Lin, Huaxin Simple nuclear \(C^{*}\)-algebras of tracial topological rank one. (English) Zbl 1206.46052 J. Funct. Anal. 251, No. 2, 601-679 (2007). Reviewer: Liliana Răileanu (Iaşi) MSC: 46L35 46L80 PDFBibTeX XMLCite \textit{H. Lin}, J. Funct. Anal. 251, No. 2, 601--679 (2007; Zbl 1206.46052) Full Text: DOI arXiv
Lin, Huaxin Classification of homomorphisms and dynamical systems. (English) Zbl 1114.46047 Trans. Am. Math. Soc. 359, No. 2, 859-895 (2007). MSC: 46L55 46L35 46L80 PDFBibTeX XMLCite \textit{H. Lin}, Trans. Am. Math. Soc. 359, No. 2, 859--895 (2007; Zbl 1114.46047) Full Text: DOI arXiv
Lin, Huaxin; Matui, Hiroki Minimal dynamical systems on the product of the Cantor set and the circle. (English) Zbl 1080.37007 Commun. Math. Phys. 257, No. 2, 425-471 (2005). MSC: 37B05 46L55 PDFBibTeX XMLCite \textit{H. Lin} and \textit{H. Matui}, Commun. Math. Phys. 257, No. 2, 425--471 (2005; Zbl 1080.37007) Full Text: DOI arXiv
Hu, Shanwen; Lin, Huaxin; Xue, Yifeng Limits of homomorphisms with finite-dimensional range. (English) Zbl 1091.46031 Int. J. Math. 16, No. 7, 807-821 (2005). MSC: 46L05 46L35 46L80 PDFBibTeX XMLCite \textit{S. Hu} et al., Int. J. Math. 16, No. 7, 807--821 (2005; Zbl 1091.46031) Full Text: DOI
Lin, Huaxin A separable Brown-Douglas-Fillmore theorem and weak stability. (English) Zbl 1053.46032 Trans. Am. Math. Soc. 356, No. 7, 2889-2925 (2004). Reviewer: V. M. Manuilov (Moskva) MSC: 46L05 46L80 PDFBibTeX XMLCite \textit{H. Lin}, Trans. Am. Math. Soc. 356, No. 7, 2889--2925 (2004; Zbl 1053.46032) Full Text: DOI
Hu, Shan Wen; Lin, Hua Xin; Xue, Yi Feng Tracial limit of \(C^{\ast}\)-algebras. (English) Zbl 1040.46037 Acta Math. Sin., Engl. Ser. 19, No. 3, 535-556 (2003). Reviewer: V. M. Manuilov (Moskva) MSC: 46L05 46L80 46L35 PDFBibTeX XMLCite \textit{S. W. Hu} et al., Acta Math. Sin., Engl. Ser. 19, No. 3, 535--556 (2003; Zbl 1040.46037) Full Text: DOI
Lin, Huaxin Simple \(C^*\)-algebras with locally bounded irreducible representation. (English) Zbl 0996.46026 J. Funct. Anal. 187, No. 1, 42-69 (2001). Reviewer: Isamu Dôku (Urawa) MSC: 46L35 46L80 46L05 46L55 PDFBibTeX XMLCite \textit{H. Lin}, J. Funct. Anal. 187, No. 1, 42--69 (2001; Zbl 0996.46026) Full Text: DOI
Lin, Huaxin Tracially AF \(C^*\)-algebras. (English) Zbl 0964.46044 Trans. Am. Math. Soc. 353, No. 2, 693-722 (2001). Reviewer: Abdugafur Rakhimov (Tashkent) MSC: 46L80 46L05 46L35 PDFBibTeX XMLCite \textit{H. Lin}, Trans. Am. Math. Soc. 353, No. 2, 693--722 (2001; Zbl 0964.46044) Full Text: DOI
Gong, Guihua; Lin, Huaxin Almost multiplicative morphisms and \(K\)-theory. (English) Zbl 0965.46045 Int. J. Math. 11, No. 8, 983-1000 (2000). MSC: 46L80 46L05 46L35 19K14 19K35 PDFBibTeX XMLCite \textit{G. Gong} and \textit{H. Lin}, Int. J. Math. 11, No. 8, 983--1000 (2000; Zbl 0965.46045) Full Text: DOI
Gong, Guihua; Lin, Huaxin Classification of homomorphisms from \(C(X)\) to simple \(C^*\)-algebras of real rank zero. (English) Zbl 0981.46045 Acta Math. Sin., Engl. Ser. 16, No. 2, 181-206 (2000). Reviewer: Zvonko Čerin (Zagreb) MSC: 46L05 46L80 46L35 PDFBibTeX XMLCite \textit{G. Gong} and \textit{H. Lin}, Acta Math. Sin., Engl. Ser. 16, No. 2, 181--206 (2000; Zbl 0981.46045) Full Text: DOI
Lin, Huaxin When almost multiplicative morphisms are close to homomorphisms. (English) Zbl 0945.46039 Trans. Am. Math. Soc. 351, No. 12, 5027-5049 (1999). Reviewer: H.Schröder (Dortmund) MSC: 46L05 46L80 PDFBibTeX XMLCite \textit{H. Lin}, Trans. Am. Math. Soc. 351, No. 12, 5027--5049 (1999; Zbl 0945.46039) Full Text: DOI
Elliott, George A.; Gong, Guihua; Lin, Huaxin; Pasnicu, Cornel Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras. (English) Zbl 0869.46030 Duke Math. J. 85, No. 3, 511-554 (1996). MSC: 46L05 46L55 46L80 PDFBibTeX XMLCite \textit{G. A. Elliott} et al., Duke Math. J. 85, No. 3, 511--554 (1996; Zbl 0869.46030) Full Text: DOI