Chen, Xiaoman; Wang, Jinmin; Xie, Zhizhang; Yu, Guoliang Delocalized eta invariants, cyclic cohomology and higher rho invariants. (English) Zbl 07775897 Ann. \(K\)-Theory 8, No. 4, 531-608 (2023). MSC: 19D55 19K56 PDFBibTeX XMLCite \textit{X. Chen} et al., Ann. \(K\)-Theory 8, No. 4, 531--608 (2023; Zbl 07775897) Full Text: DOI arXiv
Wang, Jinmin; Xie, Zhizhang; Yu, Guoliang Approximations of delocalized eta invariants by their finite analogues. (English) Zbl 07724320 Enseign. Math. (2) 69, No. 1-2, 51-91 (2023). MSC: 19D55 19K56 PDFBibTeX XMLCite \textit{J. Wang} et al., Enseign. Math. (2) 69, No. 1--2, 51--91 (2023; Zbl 07724320) Full Text: DOI arXiv
Guo, Hao; Xie, Zhizhang; Yu, Guoliang A Lichnerowicz vanishing theorem for the maximal Roe algebra. (English) Zbl 1523.58022 Math. Ann. 385, No. 1-2, 717-743 (2023). Reviewer: Jonathan Rosenberg (College Park) MSC: 58J22 53C27 46L80 19K56 PDFBibTeX XMLCite \textit{H. Guo} et al., Math. Ann. 385, No. 1--2, 717--743 (2023; Zbl 1523.58022) Full Text: DOI arXiv
Connes, Alain (ed.); Nest, Ryszard (ed.); Nikolaus, Thomas (ed.); Yu, Guoliang (ed.) Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 – August 6, 2022. (English) Zbl 1520.00025 Oberwolfach Rep. 19, No. 3, 1987-2058 (2022). MSC: 00B05 00B25 46-06 46L87 58B34 14A22 19D55 81T75 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Oberwolfach Rep. 19, No. 3, 1987--2058 (2022; Zbl 1520.00025) Full Text: DOI
Xie, Zhizhang; Yu, Guoliang Delocalized eta invariants, algebraicity, and \(K\)-theory of group \(C^*\)-algebras. (English) Zbl 1486.58012 Int. Math. Res. Not. 2021, No. 15, 11731-11766 (2021). MSC: 58J28 46L05 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{G. Yu}, Int. Math. Res. Not. 2021, No. 15, 11731--11766 (2021; Zbl 1486.58012) Full Text: DOI arXiv
Xie, Zhizhang; Yu, Guoliang; Zeidler, Rudolf On the range of the relative higher index and the higher rho-invariant for positive scalar curvature. (English) Zbl 1475.58018 Adv. Math. 390, Article ID 107897, 24 p. (2021). Reviewer: Christopher Wulff (Göttingen) MSC: 58J22 19K56 53C27 58J20 55N22 PDFBibTeX XMLCite \textit{Z. Xie} et al., Adv. Math. 390, Article ID 107897, 24 p. (2021; Zbl 1475.58018) Full Text: DOI arXiv
Guo, Hao; Xie, Zhizhang; Yu, Guoliang Functoriality for higher rho invariants of elliptic operators. (English) Zbl 1476.58025 J. Funct. Anal. 280, No. 10, Article ID 108966, 36 p. (2021). Reviewer: Themistocles M. Rassias (Athína) MSC: 58J22 46L80 58B34 53C20 53C27 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Funct. Anal. 280, No. 10, Article ID 108966, 36 p. (2021; Zbl 1476.58025) Full Text: DOI arXiv
Chen, Xiaoman; Liu, Hongzhi; Yu, Guoliang Higher \(\rho\) invariant is an obstruction to the inverse being local. (English) Zbl 1439.19007 J. Geom. Phys. 150, Article ID 103592, 18 p. (2020). MSC: 19J25 19K99 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Geom. Phys. 150, Article ID 103592, 18 p. (2020; Zbl 1439.19007) Full Text: DOI
Chang, Stanley; Weinberger, Shmuel; Yu, Guoliang Positive scalar curvature and a new index theory for noncompact manifolds. (English) Zbl 1437.58017 J. Geom. Phys. 149, Article ID 103575, 22 p. (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J20 53C21 PDFBibTeX XMLCite \textit{S. Chang} et al., J. Geom. Phys. 149, Article ID 103575, 22 p. (2020; Zbl 1437.58017) Full Text: DOI arXiv
Xie, Zhizhang; Yu, Guoliang Higher invariants in noncommutative geometry. (English) Zbl 1464.46075 Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer. 691-751 (2019). MSC: 46L85 46-02 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{G. Yu}, in: Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 -- April 7, 2017. On the occasion of Alain Connes' 70th Birthday. Cham: Springer. 691--751 (2019; Zbl 1464.46075) Full Text: DOI arXiv
Yu, G. The Novikov conjecture. (English. Russian original) Zbl 1439.19009 Russ. Math. Surv. 74, No. 3, 525-541 (2019); translation from Usp. Mat. Nauk 74, No. 3, 167-184 (2019). Reviewer: Lin Shan (San Juan) MSC: 19K56 57R20 19K35 20F65 57M07 PDFBibTeX XMLCite \textit{G. Yu}, Russ. Math. Surv. 74, No. 3, 525--541 (2019; Zbl 1439.19009); translation from Usp. Mat. Nauk 74, No. 3, 167--184 (2019) Full Text: DOI arXiv
Xie, Zhizhang; Yu, Guoliang Higher rho invariants and the moduli space of positive scalar curvature metrics. (English) Zbl 1355.53029 Adv. Math. 307, 1046-1069 (2017). MSC: 53C20 58D27 19E99 46L80 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{G. Yu}, Adv. Math. 307, 1046--1069 (2017; Zbl 1355.53029) Full Text: DOI arXiv
Douglas, Ronald G.; Tang, Xiang; Yu, Guoliang An analytic Grothendieck Riemann Roch theorem. (English) Zbl 1351.32011 Adv. Math. 294, 307-331 (2016). Reviewer: Nikolaj L. Vasilevskij (México, D.F.) MSC: 32A36 32C20 47B35 PDFBibTeX XMLCite \textit{R. G. Douglas} et al., Adv. Math. 294, 307--331 (2016; Zbl 1351.32011) Full Text: DOI arXiv
Weinberger, Shmuel; Yu, Guoliang Finite part of operator \(K\)-theory for groups finitely embeddable into Hilbert space and the degree of nonrigidity of manifolds. (English) Zbl 1328.19011 Geom. Topol. 19, No. 5, 2767-2799 (2015). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 19K56 46L85 46L80 58D29 58J22 20F99 PDFBibTeX XMLCite \textit{S. Weinberger} and \textit{G. Yu}, Geom. Topol. 19, No. 5, 2767--2799 (2015; Zbl 1328.19011) Full Text: DOI arXiv
Xie, Zhizhang; Yu, Guoliang Positive scalar curvature, higher rho invariants and localization algebras. (English) Zbl 1306.58008 Adv. Math. 262, 823-866 (2014). Reviewer: Hang Wang (Adelaide) MSC: 58J28 58J42 58J20 46L80 19K35 19K56 46L85 53C27 PDFBibTeX XMLCite \textit{Z. Xie} and \textit{G. Yu}, Adv. Math. 262, 823--866 (2014; Zbl 1306.58008) Full Text: DOI arXiv
Willett, Rufus; Yu, Guoliang Higher index theory for certain expanders and Gromov monster groups. I. (English) Zbl 1243.46060 Adv. Math. 229, No. 3, 1380-1416 (2012). MSC: 46L85 46L80 19K56 20F65 PDFBibTeX XMLCite \textit{R. Willett} and \textit{G. Yu}, Adv. Math. 229, No. 3, 1380--1416 (2012; Zbl 1243.46060) Full Text: DOI arXiv