Xie, Zhizhang [Wang, Jinmin] A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie). (English) Zbl 07722568 J. Noncommut. Geom. 17, No. 2, 609-662 (2023). Reviewer: Peter Haskell (Blacksburg) MSC: 53C23 58J20 58J22 PDFBibTeX XMLCite \textit{Z. Xie}, J. Noncommut. Geom. 17, No. 2, 609--662 (2023; Zbl 07722568) Full Text: DOI arXiv
Schulz-Baldes, Hermann; Stoiber, Tom Callias-type operators associated to spectral triples. (English) Zbl 1527.46047 J. Noncommut. Geom. 17, No. 2, 527-572 (2023). Reviewer: Stefan Wagner (Karlskrona) MSC: 46L87 19K56 46L80 58B34 PDFBibTeX XMLCite \textit{H. Schulz-Baldes} and \textit{T. Stoiber}, J. Noncommut. Geom. 17, No. 2, 527--572 (2023; Zbl 1527.46047) Full Text: DOI arXiv
Pérez-Sánchez, Carlos I. Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models. (English) Zbl 1511.58002 J. Noncommut. Geom. 16, No. 4, 1137-1178 (2022). MSC: 58B34 15B52 58C05 53C20 PDFBibTeX XMLCite \textit{C. I. Pérez-Sánchez}, J. Noncommut. Geom. 16, No. 4, 1137--1178 (2022; Zbl 1511.58002) Full Text: DOI arXiv
Esposito, Chiara; Kraft, Andreas; Schnitzer, Jonas The strong homotopy structure of Poisson reduction. (English) Zbl 1510.53098 J. Noncommut. Geom. 16, No. 3, 927-966 (2022). MSC: 53D20 17B55 16W60 53D55 PDFBibTeX XMLCite \textit{C. Esposito} et al., J. Noncommut. Geom. 16, No. 3, 927--966 (2022; Zbl 1510.53098) Full Text: DOI arXiv
Kaufmann, Ralph M. A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces. (English) Zbl 1515.16014 J. Noncommut. Geom. 16, No. 2, 677-716 (2022). Reviewer: Katsuhiko Kuribayashi (Nagano) MSC: 16E40 55P50 16S38 57R19 55P48 PDFBibTeX XMLCite \textit{R. M. Kaufmann}, J. Noncommut. Geom. 16, No. 2, 677--716 (2022; Zbl 1515.16014) Full Text: DOI arXiv
Dąbrowski, Ludwik; Sitarz, Andrzej Spectral triples with multitwisted real structure. (English) Zbl 1498.58003 J. Noncommut. Geom. 16, No. 2, 625-635 (2022). MSC: 58B34 58B32 46L87 PDFBibTeX XMLCite \textit{L. Dąbrowski} and \textit{A. Sitarz}, J. Noncommut. Geom. 16, No. 2, 625--635 (2022; Zbl 1498.58003) Full Text: DOI arXiv
Martinetti, Pierre; Singh, Devashish Lorentzian fermionic action by twisting Euclidean spectral triples. (English) Zbl 1505.58002 J. Noncommut. Geom. 16, No. 2, 513-559 (2022). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 46L60 51P05 81T75 58J50 PDFBibTeX XMLCite \textit{P. Martinetti} and \textit{D. Singh}, J. Noncommut. Geom. 16, No. 2, 513--559 (2022; Zbl 1505.58002) Full Text: DOI arXiv
Sheu, Albert Jeu-Liang Vector bundles over multipullback quantum complex projective spaces. (English) Zbl 1469.19006 J. Noncommut. Geom. 15, No. 1, 305-345 (2021). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K14 46L80 46L85 47B35 81R60 19A13 PDFBibTeX XMLCite \textit{A. J. L. Sheu}, J. Noncommut. Geom. 15, No. 1, 305--345 (2021; Zbl 1469.19006) Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids. (English) Zbl 1508.53084 J. Noncommut. Geom. 15, No. 1, 147-193 (2021). MSC: 53D17 17B63 16T10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y. Sheng}, J. Noncommut. Geom. 15, No. 1, 147--193 (2021; Zbl 1508.53084) Full Text: DOI arXiv
Mudrov, Andrey Equivariant vector bundles over quantum spheres. (English) Zbl 1475.17025 J. Noncommut. Geom. 15, No. 1, 79-111 (2021). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B37 53D55 81R50 PDFBibTeX XMLCite \textit{A. Mudrov}, J. Noncommut. Geom. 15, No. 1, 79--111 (2021; Zbl 1475.17025) Full Text: DOI arXiv
Jakobsen, Mads S.; Luef, Franz Duality of Gabor frames and Heisenberg modules. (English) Zbl 1481.46055 J. Noncommut. Geom. 14, No. 4, 1445-1500 (2020). MSC: 46L08 58B34 42C15 PDFBibTeX XMLCite \textit{M. S. Jakobsen} and \textit{F. Luef}, J. Noncommut. Geom. 14, No. 4, 1445--1500 (2020; Zbl 1481.46055) Full Text: DOI arXiv
Dąbrowski, Ludwik; Hajac, Piotr M.; Neshveyev, Sergey Noncommutative Borsuk-Ulam-type conjectures revisited. (English) Zbl 1481.46077 J. Noncommut. Geom. 14, No. 4, 1305-1324 (2020). MSC: 46L85 58B32 PDFBibTeX XMLCite \textit{L. Dąbrowski} et al., J. Noncommut. Geom. 14, No. 4, 1305--1324 (2020; Zbl 1481.46077) Full Text: DOI arXiv
Shapiro, Ilya On the anti-Yetter-Drinfeld module-contramodule correspondence. (English) Zbl 1427.19003 J. Noncommut. Geom. 13, No. 2, 473-497 (2019). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 19D55 16T05 18M05 18E05 PDFBibTeX XMLCite \textit{I. Shapiro}, J. Noncommut. Geom. 13, No. 2, 473--497 (2019; Zbl 1427.19003) Full Text: DOI arXiv
Markl, Martin; Doubek, Martin Open-closed modular operads, the cardy condition and string field theory. (English) Zbl 1409.18009 J. Noncommut. Geom. 12, No. 4, 1359-1424 (2018). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D50 32G15 18D35 PDFBibTeX XMLCite \textit{M. Markl} and \textit{M. Doubek}, J. Noncommut. Geom. 12, No. 4, 1359--1424 (2018; Zbl 1409.18009) Full Text: DOI arXiv
Hajac, Piotr M.; Maszczyk, Tomasz Pullbacks and nontriviality of associated noncommutative vector bundles. (English) Zbl 1416.46067 J. Noncommut. Geom. 12, No. 4, 1341-1358 (2018). MSC: 46L85 46L80 58B32 PDFBibTeX XMLCite \textit{P. M. Hajac} and \textit{T. Maszczyk}, J. Noncommut. Geom. 12, No. 4, 1341--1358 (2018; Zbl 1416.46067) Full Text: DOI arXiv
Kowalzig, Niels When Ext is a Batalin-Vilkovisky algebra. (English) Zbl 1408.18018 J. Noncommut. Geom. 12, No. 3, 1081-1131 (2018). Reviewer: Gabriella Böhm (Budapest) MSC: 18D50 16E40 19D55 16T05 16E45 58B34 PDFBibTeX XMLCite \textit{N. Kowalzig}, J. Noncommut. Geom. 12, No. 3, 1081--1131 (2018; Zbl 1408.18018) Full Text: DOI arXiv
Kahng, Byung-Jay; Van Daele, Alfons Separability idempotents in \(C^{\ast}\)-algebras. (English) Zbl 1412.46083 J. Noncommut. Geom. 12, No. 3, 997-1040 (2018). MSC: 46L89 46L51 16T05 22A22 PDFBibTeX XMLCite \textit{B.-J. Kahng} and \textit{A. Van Daele}, J. Noncommut. Geom. 12, No. 3, 997--1040 (2018; Zbl 1412.46083) Full Text: DOI arXiv
Iochum, Bruno; Masson, Thierry Crossed product extensions of spectral triples. (English) Zbl 1348.46070 J. Noncommut. Geom. 10, No. 1, 65-133 (2016). Reviewer: Albert Sheu (Lawrence) MSC: 46L87 46L55 58B34 54H15 22D25 PDFBibTeX XMLCite \textit{B. Iochum} and \textit{T. Masson}, J. Noncommut. Geom. 10, No. 1, 65--133 (2016; Zbl 1348.46070) Full Text: DOI arXiv
Agore, Ana L.; Militaru, Gigel Jacobi and Poisson algebras. (English) Zbl 1378.17034 J. Noncommut. Geom. 9, No. 4, 1295-1342 (2015). MSC: 17B63 17B60 16L60 PDFBibTeX XMLCite \textit{A. L. Agore} and \textit{G. Militaru}, J. Noncommut. Geom. 9, No. 4, 1295--1342 (2015; Zbl 1378.17034) Full Text: DOI arXiv
Lechner, Gandalf; Verch, Rainer Linear hyperbolic PDEs with noncommutative time. (English) Zbl 1351.46072 J. Noncommut. Geom. 9, No. 3, 999-1040 (2015). MSC: 46N50 81T75 81T10 58J45 PDFBibTeX XMLCite \textit{G. Lechner} and \textit{R. Verch}, J. Noncommut. Geom. 9, No. 3, 999--1040 (2015; Zbl 1351.46072) Full Text: DOI arXiv
Carpi, Sebastiano; Hillier, Robin; Longo, Roberto Superconformal nets and noncommutative geometry. (English) Zbl 1329.46063 J. Noncommut. Geom. 9, No. 2, 391-445 (2015). MSC: 46L87 46L60 81T05 81T75 58B34 PDFBibTeX XMLCite \textit{S. Carpi} et al., J. Noncommut. Geom. 9, No. 2, 391--445 (2015; Zbl 1329.46063) Full Text: DOI arXiv
Durhuus, Bergfinnur; Sitarz, Andrzej Star product realizations of \(\kappa \)-Minkowski space. (English) Zbl 1282.46063 J. Noncommut. Geom. 7, No. 3, 605-645 (2013). MSC: 46L65 53D55 81R60 PDFBibTeX XMLCite \textit{B. Durhuus} and \textit{A. Sitarz}, J. Noncommut. Geom. 7, No. 3, 605--645 (2013; Zbl 1282.46063) Full Text: DOI arXiv
van den Dungen, Koen; van Suijlekom, Walter D. Electrodynamics from noncommutative geometry. (English) Zbl 1272.58006 J. Noncommut. Geom. 7, No. 2, 433-456 (2013). MSC: 58B34 70S15 81V10 PDFBibTeX XMLCite \textit{K. van den Dungen} and \textit{W. D. van Suijlekom}, J. Noncommut. Geom. 7, No. 2, 433--456 (2013; Zbl 1272.58006) Full Text: DOI arXiv
de Goursac, Axel; Masson, Thierry; Wallet, Jean-Christophe Noncommutative \(\varepsilon \)-graded connections. (English) Zbl 1275.58003 J. Noncommut. Geom. 6, No. 2, 343-387 (2012). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 17B75 46L87 81T75 81T13 PDFBibTeX XMLCite \textit{A. de Goursac} et al., J. Noncommut. Geom. 6, No. 2, 343--387 (2012; Zbl 1275.58003) Full Text: DOI arXiv
De Commer, Kenny Comonoidal W\(^*\)-Morita equivalence for von Neumann bialgebras. (English) Zbl 1236.46065 J. Noncommut. Geom. 5, No. 4, 547-571 (2011). MSC: 46L65 81R50 16T20 17B37 PDFBibTeX XMLCite \textit{K. De Commer}, J. Noncommut. Geom. 5, No. 4, 547--571 (2011; Zbl 1236.46065) Full Text: DOI arXiv