Journal of Noncommutative Geometry Short Title: J. Noncommut. Geom. Publisher: EMS Press, Berlin ISSN: 1661-6952; 1661-6960/e Online: https://ems.press/journals/jncg/read Comments: Journal; Indexed cover-to-cover Documents Indexed: 601 Publications (since 2007) References Indexed: 524 Publications with 13,517 References. all top 5 Latest Issues 18, No. 4 (2024) 18, No. 3 (2024) 18, No. 2 (2024) 18, No. 1 (2024) 17, No. 4 (2023) 17, No. 3 (2023) 17, No. 2 (2023) 17, No. 1 (2023) 16, No. 4 (2022) 16, No. 3 (2022) 16, No. 2 (2022) 16, No. 1 (2022) 15, No. 4 (2021) 15, No. 3 (2021) 15, No. 2 (2021) 15, No. 1 (2021) 14, No. 4 (2020) 14, No. 3 (2020) 14, No. 2 (2020) 14, No. 1 (2020) 13, No. 4 (2019) 13, No. 3 (2019) 13, No. 2 (2019) 13, No. 1 (2019) 12, No. 4 (2018) 12, No. 3 (2018) 12, No. 2 (2018) 12, No. 1 (2018) 11, No. 4 (2017) 11, No. 3 (2017) 11, No. 2 (2017) 11, No. 1 (2017) 10, No. 4 (2016) 10, No. 3 (2016) 10, No. 2 (2016) 10, No. 1 (2016) 9, No. 4 (2015) 9, No. 3 (2015) 9, No. 2 (2015) 9, No. 1 (2015) 8, No. 4 (2014) 8, No. 3 (2014) 8, No. 2 (2014) 8, No. 1 (2014) 7, No. 4 (2013) 7, No. 3 (2013) 7, No. 2 (2013) 7, No. 1 (2013) 6, No. 4 (2012) 6, No. 3 (2012) 6, No. 2 (2012) 6, No. 1 (2012) 5, No. 4 (2011) 5, No. 3 (2011) 5, No. 2 (2011) 5, No. 1 (2011) 4, No. 4 (2010) 4, No. 3 (2010) 4, No. 2 (2010) 4, No. 1 (2010) 3, No. 4 (2009) 3, No. 3 (2009) 3, No. 2 (2009) 3, No. 1 (2009) 2, No. 4 (2008) 2, No. 3 (2008) 2, No. 2 (2008) 2, No. 1 (2008) 1, No. 4 (2007) 1, No. 3 (2007) 1, No. 2 (2007) 1, No. 1 (2007) all top 5 Authors 9 Tabuada, Gonçalo 7 Hajac, Piotr M. 7 van Suijlekom, Walter Daniël 6 Kaad, Jens 6 Meyer, Ralf 6 Neshveyev, Sergey V. 6 Van den Bergh, Michel 5 Benameur, Moulay-Tahar 5 Dabrowski, Ludwik 5 Dadarlat, Marius 5 Kaufmann, Ralph M. 5 Kaygun, Atabey 5 Landi, Giovanni 5 Mathai, Varghese 5 Schick, Thomas 5 Tang, Xiang 5 Wang, Hang 4 Batanin, Michael A. 4 Brzeziński, Tomasz 4 Chirvăsitu, Alexandru 4 D’Andrea, Francesco 4 Herscovich, Estanislao 4 Iochum, Bruno 4 Khalkhali, Masoud 4 Nest, Ryszard 4 Plymen, Roger J. 4 Ponge, Raphaël S. 4 Rennie, Adam 4 Sheng, Yunhe 4 Sitarz, Andrzej 4 Solotar, Andrea Leonor 4 Sołtan, Piotr Mikołaj 4 Sütlü, Serkan 4 Timmermann, Thomas 4 Zieliński, Bartosz 3 Arici, Francesca 3 Bai, Chengming 3 Banerjee, Abhishek 3 Bunke, Ulrich 3 Cuntz, Joachim 3 Fathizadeh, Farzad 3 Fima, Pierre 3 Gavarini, Fabio 3 Gayral, Victor 3 Kasprzak, Paweł 3 Kowalzig, Niels 3 Kubota, Yosuke 3 Li, Kang 3 Li, Xin 3 Liu, Hongzhi 3 Majid, Shahn 3 Manchon, Dominique 3 Marcolli, Matilde 3 Markl, Martin 3 Masson, Thierry 3 Mesland, Bram 3 Niblo, Graham A. 3 Paravicini, Walther Dietrich 3 Piazza, Paolo 3 Ramadoss, Ajay C. 3 Rangipour, Bahram 3 Roy, Indrava 3 Roy, Sutanu 3 Sims, Aidan 3 Solleveld, Maarten 3 Sukochev, Fedor Anatol’evich 3 Tanasă, Adrian 3 Tang, Rong 3 Thiel, Hannes 3 Winter, Wilhelm 3 Wright, Nick J. 3 Yamashita, Makoto 2 Aastrup, Johannes 2 Abbaspour, Hossein 2 Agore, Ana-Loredana 2 Arano, Yuki 2 Baldare, Alexandre 2 Banica, Teodor 2 Barlak, Selçuk 2 Barmeier, Severin 2 Bavula, Vladimir V. 2 Beggs, Edwin J. 2 Bhowmick, Jyotishman 2 Bichon, Julien 2 Bisi, Cinzia 2 Brain, Simon 2 Braverman, Maxim 2 Brodzki, Jacek 2 Brown, Michael Kegan 2 Chakraborty, Partha Sarathi 2 Chemla, Sophie 2 Chen, Xiaojun 2 Chung, Yeong Chyuan 2 Cibils, Claude 2 Connes, Alain 2 Conti, Roberto 2 Cortiñas, Guillermo H. 2 Crisp, Tyrone 2 Cuadra, Juan 2 Das, Biswarup ...and 690 more Authors all top 5 Fields 271 Functional analysis (46-XX) 173 Associative rings and algebras (16-XX) 170 Global analysis, analysis on manifolds (58-XX) 125 \(K\)-theory (19-XX) 95 Category theory; homological algebra (18-XX) 76 Algebraic geometry (14-XX) 71 Differential geometry (53-XX) 69 Nonassociative rings and algebras (17-XX) 69 Quantum theory (81-XX) 51 Group theory and generalizations (20-XX) 51 Topological groups, Lie groups (22-XX) 49 Algebraic topology (55-XX) 36 Operator theory (47-XX) 27 Several complex variables and analytic spaces (32-XX) 16 Commutative algebra (13-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Number theory (11-XX) 14 Manifolds and cell complexes (57-XX) 13 Combinatorics (05-XX) 11 Abstract harmonic analysis (43-XX) 8 Functions of a complex variable (30-XX) 7 Partial differential equations (35-XX) 7 Geometry (51-XX) 6 Mathematical logic and foundations (03-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 General topology (54-XX) 4 Measure and integration (28-XX) 4 Convex and discrete geometry (52-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 Mechanics of particles and systems (70-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 509 Publications have been cited 3,587 times in 2,602 Documents Cited by ▼ Year ▼ On the spectral characterization of manifolds. Zbl 1287.58004 Connes, Alain 102 2013 Double constructions of Frobenius algebras, Connes cocycles and their duality. Zbl 1250.17028 Bai, Chengming 43 2010 Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable. Zbl 1227.46041 Winter, Wilhelm 41 2011 Scalar curvature for the noncommutative two torus. Zbl 1295.46053 Fathizadeh, Farzad; Khalkhali, Masoud 40 2013 Homotopy Batalin-Vilkovisky algebras. Zbl 1258.18005 Gálvez-Carrillo, Imma; Tonks, Andrew; Vallette, Bruno 37 2012 The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure. Zbl 1256.58002 Fathizadeh, Farzad; Khalkhali, Masoud 36 2012 Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets. Zbl 1181.46056 Pearson, John; Bellissard, Jean 35 2009 Fusion rules for quantum reflection groups. Zbl 1203.46048 Banica, Teodor; Vergnioux, Roland 32 2009 The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. Zbl 1144.18007 Dolgushev, Vasiliy A.; Tamarkin, Dmitry; Tsygan, Boris 32 2007 Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras. Zbl 1161.16022 Berger, Roland; Taillefer, Rachel 31 2007 Gauge theory for spectral triples and the unbounded Kasparov product. Zbl 1341.58007 Brain, Simon; Mesland, Bram; van Suijlekom, Walter D. 30 2016 Twisting on associative algebras and Rota-Baxter type operators. Zbl 1248.16027 Uchino, Kyousuke 30 2010 Bordism, rho-invariants and the Baum-Connes conjecture. Zbl 1158.58012 Piazza, Paolo; Schick, Thomas 30 2007 The Baum-Connes conjecture with coefficients for hyperbolic groups. (La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques.) Zbl 1328.19010 Lafforgue, Vincent 29 2012 Scalar curvature for noncommutative four-tori. Zbl 1332.46071 Fathizadeh, Farzad; Khalkhali, Masoud 28 2015 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412 Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 28 2009 Twisted Calabi-Yau property of Ore extensions. Zbl 1317.16025 Liu, Liyu; Wang, Shengqiang; Wu, Quanshui 26 2014 Noncommutative quadric surfaces. Zbl 1290.14003 Smith, S. Paul; Van den Bergh, Michel 26 2013 Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus. Zbl 1226.81279 Cagnache, Eric; Masson, Thierry; Wallet, Jean-Christophe 25 2011 The cyclic theory of Hopf algebroids. Zbl 1262.16030 Kowalzig, Niels; Posthuma, Hessel 25 2011 Dirac operators on all Podleś quantum spheres. Zbl 1121.58008 Dąbrowski, Ludwik; D’Andrea, Francesco; Landi, Giovanni; Wagner, Elmar 25 2007 Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004 Beggs, Edwin; Majid, Shahn 25 2017 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators. Zbl 1169.55005 Kaufmann, Ralph M. 24 2008 Pseudodifferential calculus on a singular foliation. Zbl 1216.53029 Androulidakis, Iakovos; Skandalis, Georges 23 2011 Easy quantum groups and quantum subgroups of a semi-direct product quantum group. Zbl 1350.46047 Raum, Sven; Weber, Moritz 23 2015 Non-commutative resolutions and Grothendieck groups. Zbl 1327.13053 Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Vial, Charles 23 2015 On the structure of (co-Frobenius) Hopf algebras. Zbl 1279.16024 Andruskiewitsch, Nicolás; Cuadra, Juan 23 2013 Topological graph polynomials and quantum field theory. I: Theory kernel theories. Zbl 1186.81095 Krajewski, Thomas; Rivasseau, Vincent; Tanasă, Adrian; Wang, Zhituo 22 2010 C*-algebras associated with integral domains and crossed products by actions on adele spaces. Zbl 1229.46044 Cuntz, Joachim; Li, Xin 22 2011 Geometric cycles, index theory and twisted \(K\)-homology. Zbl 1169.19003 Wang, Bai-Ling 21 2008 Graph products of operator algebras. Zbl 1373.46055 Caspers, Martijn; Fima, Pierre 21 2017 The closed state space of affine Landau-Ginzburg B-models. Zbl 1286.14003 Segal, Ed 21 2013 Chow motives versus noncommutative motives. Zbl 1296.14019 Tabuada, Gonçalo 21 2013 Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001 Kasparov, Gennadi 20 2016 Property (T) and exotic quantum group norms. Zbl 1277.46041 Kyed, David; Sołtan, Piotr M. 20 2012 Metric and spectral triples for Dirichlet and resistance forms. Zbl 1327.81236 Hinz, Michael; Kelleher, Daniel J.; Teplyaev, Alexander 19 2015 Pimsner algebras and Gysin sequences from principal circle actions. Zbl 1342.19006 Arici, Francesca; Kaad, Jens; Landi, Giovanni 19 2016 Crossed products by compact group actions with the Rokhlin property. Zbl 1390.46060 Gardella, Eusebio 19 2017 Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052 Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 19 2020 On the classification of certain fusion categories. Zbl 1208.18004 Jordan, David; Larson, Eric 18 2009 McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044 Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J. 18 2019 Star product realizations of \(\kappa \)-Minkowski space. Zbl 1282.46063 Durhuus, Bergfinnur; Sitarz, Andrzej 18 2013 The spectral localizer for even index pairings. Zbl 1441.19011 Loring, Terry A.; Schulz-Baldes, Hermann 18 2020 Quantum \(\mathrm{SO}(3)\) groups and quantum group actions on \(M_{2}\). Zbl 1194.46108 Sołtan, Piotr M. 17 2010 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. Zbl 1145.55008 Kaufmann, Ralph M. 17 2007 Noncommutative \(\varepsilon \)-graded connections. Zbl 1275.58003 de Goursac, Axel; Masson, Thierry; Wallet, Jean-Christophe 17 2012 Uniform local amenability. Zbl 1281.46023 Brodzki, Jacek; Niblo, Graham A.; Špakula, Ján; Willett, Rufus; Wright, Nick 17 2013 Riemannian curvature of the noncommutative 3-sphere. Zbl 1378.46053 Arnlind, Joakim; Wilson, Mitsuru 17 2017 Piecewise principal comodule algebras. Zbl 1258.16036 Hajac, Piotr M.; Krähmer, Ulrich; Matthes, Rainer; Zieliński, Bartosz 17 2011 Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem. Zbl 1343.58004 Ponge, Raphaël; Wang, Hang 16 2016 Van den Bergh duality and Batalin-Vilkoviskiĭ structure on Calabi-Yau algebras. (Dualité de Van den Bergh et structure de Batalin-Vilkoviskiĭ sur les algèbres de Calabi-Yau.) Zbl 1267.16009 Lambre, Thierry 16 2010 Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. Zbl 1518.17004 Tang, Rong; Sheng, Yunhe 16 2022 The Ricci curvature in noncommutative geometry. Zbl 1417.58003 Floricel, Remus; Ghorbanpour, Asghar; Khalkhali, Masoud 16 2019 On compact bicrossed products. Zbl 1410.46054 Fima, Pierre; Mukherjee, Kunal; Patri, Issan 16 2017 Idempotent states on compact quantum groups and their classification on \(\mathrm{U}_q(2)\), \(\mathrm{su}_q(2)\), and \(\mathrm{SO}_q(3)\). Zbl 1300.46060 Franz, Uwe; Skalski, Adam; Tomatsu, Reiji 16 2013 Hereditary triangulated categories. Zbl 1430.18010 Chen, Xiao-Wu; Ringel, Claus Michael 16 2018 Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras. Zbl 1422.16004 Bao, Yanhong; He, Jiwei; Zhang, James J. 16 2019 Spectral triples and the geometry of fractals. Zbl 1244.28010 Christensen, Erik; Ivan, Cristina; Schrohe, Elmar 15 2012 The Novikov conjecture on Cheeger spaces. Zbl 1375.57034 Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 15 2017 Inequalities à la Frölicher and cohomological decompositions. Zbl 1325.32018 Angella, Daniele; Tomassini, Adriano 14 2015 Dirac operators and geodesic metric on the harmonic Sierpiński gasket and other fractal sets. Zbl 1320.28015 Lapidus, Michel L.; Sarhad, Jonathan J. 14 2014 On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010 Natale, Sonia 14 2014 Braided quantum SU(2) groups. Zbl 1358.81128 Kasprzak, Paweł; Meyer, Ralf; Roy, Sutanu; Woronowicz, Stanisław Lech 14 2016 About the convolution of distributions on groupoids. Zbl 1385.46026 Lescure, Jean-Marie; Manchon, Dominique; Vassout, Stéphane 14 2017 Quantales of open groupoids. Zbl 1253.06019 Protin, M. Clarence; Resende, Pedro 14 2012 Modular envelopes, OSFT and nonsymmetric (non-\(\Sigma\)) modular operads. Zbl 1375.81205 Markl, Martin 14 2016 Spectral geometry of the Moyal plane with harmonic propagation. Zbl 1295.46054 Gayral, Victor; Wulkenhaar, Raimar 14 2013 Simple equivariant \(\mathrm{C}^\ast\)-algebras whose full and reduced crossed products coincide. Zbl 1453.46060 Suzuki, Yuhei 14 2019 The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras. Zbl 1348.46066 Barlak, Selçuk; Enders, Dominic; Matui, Hiroki; Szabó, Gábor; Winter, Wilhelm 13 2015 \(L^2\)-index formula for proper cocompact group actions. Zbl 1338.19008 Wang, Hang 13 2014 Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\). Zbl 1325.46074 Voiculescu, Dan-Virgil 13 2014 Strongly self-absorbing \(C^*\)-dynamical systems. II. Zbl 1398.46058 Szabó, Gábor 13 2018 Tate-Hochschild homology and cohomology of Frobenius algebras. Zbl 1305.16007 Bergh, Petter Andreas; Jorgensen, David A. 13 2013 Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture. Zbl 1192.46066 Ji, Ronghui; Ogle, Crichton; Ramsey, Bobby 12 2010 A noncommutative sigma-model. Zbl 1260.58004 Mathai, Varghese; Rosenberg, Jonathan 12 2011 Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010 Savin, Anton; Sternin, Boris 12 2014 On spectral triples in quantum gravity. II. Zbl 1158.46312 Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard 12 2009 Spectral action on noncommutative torus. Zbl 1156.46046 Essouabri, Driss; Iochum, Bruno; Levy, Cyril; Sitarz, Andrzej 12 2008 Periodic cyclic homology of reductive \(p\)-adic groups. Zbl 1181.22018 Solleveld, Maarten 12 2009 Modular curvature for toric noncommutative manifolds. Zbl 1403.46056 Liu, Yang 12 2018 On Frobenius and separable algebra extensions in monoidal categories: applications to wreaths. Zbl 1347.16035 Bulacu, Daniel; Torrecillas, Blas 12 2015 The homotopy groups of the automorphism group of Kirchberg algebras. Zbl 1144.46047 Dadarlat, Marius 12 2007 Riemannian submersions and factorization of Dirac operators. Zbl 1405.19002 Kaad, Jens; van Suijlekom, Walter D. 12 2018 Group quasi-representations and almost flat bundles. Zbl 1296.46058 Dadarlat, Marius 12 2014 Quantum group-twisted tensor products of \(C^*\)-algebras. II. Zbl 1362.46070 Meyer, Ralf; Roy, Sutanu; Woronowicz, Stanisław Lech 12 2016 A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group. Zbl 1346.46062 Dadarlat, Marius; Pennig, Ulrich 11 2015 The analytical assembly map and index theory. Zbl 1343.19001 Land, Markus 11 2015 Phase transition in the Connes-Marcolli \(\mathrm{GL}_2\)-system. Zbl 1143.46039 Laca, Marcelo; Larsen, Nadia S.; Neshveyev, Sergey 11 2007 Hopf algebra of non-commutative field theory. Zbl 1181.81101 Tanasă, Adrian; Vignes-Tourneret, Fabien 11 2008 Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula. Zbl 1373.46067 Lesch, Matthias 11 2017 The Ext algebra of a Brauer graph algebra. Zbl 1380.16022 Green, Edward L.; Schroll, Sibylle; Snashall, Nicole; Taillefer, Rachel 11 2017 Electrodynamics from noncommutative geometry. Zbl 1272.58006 van den Dungen, Koen; van Suijlekom, Walter D. 11 2013 Differentiable absorption of Hilbert \(C^\ast\)-modules, connections, and lifts of unbounded operators. Zbl 1386.46045 Kaad, Jens 11 2017 Matrix factorizations and semi-orthogonal decompositions for blowing-ups. Zbl 1360.14063 Lunts, Valery A.; Schnürer, Olaf M. 11 2016 Calabi-Yau deformations and negative cyclic homology. Zbl 1422.14044 De Völcsey, Louis De Thanhoffer; van den Bergh, Michel 11 2018 Rough index theory on spaces of polynomial growth and contractibility. Zbl 1436.58019 Engel, Alexander 11 2019 The Gysin sequence for quantum Lens spaces. Zbl 1404.46063 Arici, Francesca; Brain, Simon; Landi, Giovanni 10 2015 Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053 Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 10 2014 Holomorphically finitely generated algebras. Zbl 1314.32012 Pirkovskii, Alexei Yu. 10 2015 Complete positivity of Rieffel’s deformation quantization by actions of \(\mathbb R^d\). Zbl 1172.53055 Kaschek, Daniel; Neumaier, Nikolai; Waldmann, Stefan 10 2009 Nowhere scattered \(C^{\ast}\)-algebras. Zbl 07828318 Thiel, Hannes; Vilalta, Eduard 7 2024 Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation. Zbl 07828328 Li, Yunnan; Sheng, Yunhe; Tang, Rong 3 2024 Discrete quantum structures. I: Quantum predicate logic. Zbl 1548.46058 Kornell, Andre 2 2024 On isometries of spectral triples associated to AF-algebras and crossed products. Zbl 1541.58007 Bassi, Jacopo; Conti, Roberto 2 2024 Relative Poisson bialgebras and Frobenius Jacobi algebras. Zbl 07902536 Liu, Guilai; Bai, Chengming 2 2024 Quantum inverse semigroups. Zbl 07828331 Alves, Marcelo Muniz; Batista, Eliezer; Boeing, Francielle Kuerten 1 2024 The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions. Zbl 07828314 Deng, Jintao; Fu, Benyin; Wang, Qin 1 2024 Vanishing first cohomology and strong 1-boundedness for von Neumann algebras. Zbl 1548.46042 Hayes, Ben; Jekel, David; Kunnawalkam Elayavalli, Srivatsav 1 2024 Sobolev algebras on Lie groups and noncommutative geometry. Zbl 1548.46057 Arhancet, Cédric 1 2024 On amenable and coamenable coideals. Zbl 07902540 Anderson-Sackaney, Benjamin 1 2024 \(C^{\ast}\)-algebraic approach to the principal symbol. III. Zbl 07926810 Kordyukov, Yuri; Sukochev, Fedor; Zanin, Dmitriy 1 2024 A cogroupoid associated to preregular forms. Zbl 07926814 Huang, Hongdi; Van C. Nguyen; Ure, Charlotte; Vashaw, Kent B.; Veerapen, Padmini; Wang, Xingting 1 2024 Connes’ integration and Weyl’s laws. Zbl 1531.58009 Ponge, Raphaël 7 2023 Geometric similarity invariants of Cowen-Douglas operators. Zbl 1522.32047 Jiang, Chunlan; Ji, Kui; Keshari, Dinesh Kumar 5 2023 A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie). Zbl 1530.53058 Xie, Zhizhang 4 2023 Strongly quasi-local algebras and their \(K\)-theories. Zbl 1523.46055 Bao, Hengda; Chen, Xiaoman; Zhang, Jiawen 3 2023 Pseudodifferential operators on filtered manifolds as generalized fixed points. Zbl 1511.58011 Ewert, Eske 3 2023 Nonnoetherian singularities and their noncommutative blowups. Zbl 1530.14003 Beil, Charlie 3 2023 Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type. Zbl 1528.16030 Angiono, Iván Ezequiel; Campagnolo, Emiliano; Sanmarco, Guillermo 3 2023 A short proof of the localization formula for the loop space Chern character of spin manifolds. Zbl 1516.53046 Ludewig, Matthias; Yi, Zelin 3 2023 Anick type automorphisms and new irreducible representations of Leavitt path algebras. Zbl 07761257 Kuroda, Shigeru; Tran Giang Nam 2 2023 Homology and \(K\)-theory of dynamical systems. II: Smale spaces with totally disconnected transversal. Zbl 1537.46061 Proietti, Valerio; Yamashita, Makoto 2 2023 Mixed \(q\)-deformed Araki-Woods von Neumann algebras. Zbl 1537.46045 Bikram, Panchugopal; Kumar R., Rahul; Mukherjee, Kunal 2 2023 Zappa-Szép products for partial actions of groupoids on left cancellative small categories. Zbl 1537.46058 Ortega, Eduard; Pardo, Enrique 2 2023 Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks. Zbl 1520.53018 Biswas, Indranil; Chatterjee, Saikat; Koushik, Praphulla; Neumann, Frank 2 2023 Callias-type operators associated to spectral triples. Zbl 1527.46047 Schulz-Baldes, Hermann; Stoiber, Tom 2 2023 Wheel graph homology classes via Lie graph homology. Zbl 1529.18015 Ward, Benjamin C. 2 2023 Calabi-Yau structures for multiplicative preprojective algebras. Zbl 1546.16007 Bozec, Tristan; Calaque, Damien; Scherotzke, Sarah 2 2023 Homotopy Rota-Baxter operators and post-Lie algebras. Zbl 1519.17023 Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe 2 2023 Quantum geometry of Boolean algebras and de Morgan duality. Zbl 07687930 Majid, Shahn 2 2023 Non-embeddable \(\mathrm{II}_1\) factors resembling the hyperfinite \(\mathrm{II}_1\) factor. Zbl 1517.46046 Goldbring, Isaac 2 2023 Non-commutative disintegrations: existence and uniqueness in finite dimensions. Zbl 1537.46048 Parzygnat, Arthur J.; Russo, Benjamin P. 1 2023 Ideal structure and pure infiniteness of inverse semigroup crossed products. Zbl 1539.46050 Kwaśniewski, Bartosz Kosma; Meyer, Ralf 1 2023 On a definition of logarithm of quaternionic functions. Zbl 1535.30112 Gentili, Graziano; Prezelj, Jasna; Vlacci, Fabio 1 2023 Compact quantum group structures on type-I \(\mathrm{C}^*\)-algebras. Zbl 1537.46056 Chirvasitu, Alexandru; Krajczok, Jacek; Sołtan, Piotr M. 1 2023 Cosimplicial monoids and deformation theory of tensor categories. Zbl 1524.18038 Batanin, Michael; Davydov, Alexei 1 2023 Unitary Harish-Chandra representations of real supergroups. Zbl 1519.17008 Carmeli, Claudio; Fioresi, Rita; Varadarajan, Veeravalli S. 1 2023 Expanders are counterexamples to the \(\ell^p\) coarse Baum-Connes conjecture. Zbl 1520.46039 Chung, Yeong Chyuan; Nowak, Piotr W. 1 2023 The structure of KMS weights on étale groupoid \(C^\ast\)-algebras. Zbl 1526.46037 Christensen, Johannes 1 2023 Aspects of noncommutative geometry of Bunce-Deddens algebras. Zbl 1537.46057 Klimek, Slawomir; McBride, Matt; Peoples, J. Wilson 1 2023 Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. Zbl 1518.17004 Tang, Rong; Sheng, Yunhe 16 2022 Cyclic cocycles in the spectral action. Zbl 1511.46051 van Nuland, Teun D. H.; van Suijlekom, Walter D. 4 2022 Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models. Zbl 1511.58002 Pérez-Sánchez, Carlos I. 4 2022 Quantum Euclidean spaces with noncommutative derivatives. Zbl 1508.46052 Gao, Li; Junge, Marius; McDonald, Edward 4 2022 The Novikov conjecture and extensions of coarsely embeddable groups. Zbl 1498.19005 Deng, Jintao 4 2022 Iterated Hopf Ore extensions in positive characteristic. Zbl 1510.16028 Brown, Kenneth A.; Zhang, James J. 3 2022 Lifting theorems for completely positive maps. Zbl 1506.46042 Gabe, James 3 2022 Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 1521.46038 Arone, Gregory; Barnea, Ilan; Schlank, Tomer M. 3 2022 A proof of a conjecture of Shklyarov. 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Zbl 1485.81044 Fima, Pierre; Wang, Hua 1 2021 ...and 409 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,206 Authors 27 Marcolli, Matilde 23 Rennie, Adam 22 Chirvăsitu, Alexandru 22 Skalski, Adam G. 21 Bai, Chengming 21 Sheng, Yunhe 20 Van den Bergh, Michel 19 Sitarz, Andrzej 19 Wallet, Jean-Christophe 18 Dabrowski, Ludwik 18 van Suijlekom, Walter Daniël 17 Brzeziński, Tomasz 17 Khalkhali, Masoud 16 D’Andrea, Francesco 16 Kaad, Jens 16 Landi, Giovanni 16 Majid, Shahn 16 Sukochev, Fedor Anatol’evich 15 Goffeng, Magnus 15 Goswami, Debashish 15 Kaufmann, Ralph M. 15 Martinetti, Pierre 15 Mesland, Bram 15 Neshveyev, Sergey V. 15 Ponge, Raphaël S. 15 Szabó, Gábor 15 Tabuada, Gonçalo 14 Sołtan, Piotr Mikołaj 14 Wang, Hang 14 Weber, Moritz 13 Banica, Teodor 13 Guo, Li 13 Hochs, Peter 13 Liu, Jiefeng 13 Savin, Anton Yur’evich 13 Sims, Aidan 12 Connes, Alain 12 Ebrahimi-Fard, Kurusch 12 Freslon, Amaury 12 Mathai, Varghese 12 Ueyama, Kenta 11 Bhowmick, Jyotishman 11 Dadarlat, Marius 11 Li, Xin 11 Manchon, Dominique 11 Piazza, Paolo 11 Teplyaev, Alexander 11 Torrecillas Jover, Blas 11 Zhang, James J. 11 Zhang, Yinhuo 10 Benameur, Moulay-Tahar 10 Gardella, Eusebio 10 Hajac, Piotr M. 10 Iochum, Bruno 10 Kasprzak, Paweł 10 Meyer, Ralf 10 Pennig, Ulrich 10 Solleveld, Maarten 10 Vitale, Patrizia 10 Walton, Chelsea 10 Wang, Xingting 10 Wang, Yong 10 Willett, Rufus 9 Agore, Ana-Loredana 9 Arici, Francesca 9 Caspers, Martijn 9 Chen, Xiaojun 9 Deeley, Robin J. 9 Farsi, Carla 9 Fathizadeh, Farzad 9 Guo, Hao 9 He, Jiwei 9 Kowalzig, Niels 9 Latrémolière, Frédéric 9 Luef, Franz 9 Resende, Pedro 9 Sati, Hisham 9 Schulz-Baldes, Hermann 9 Winter, Wilhelm 9 Xie, Zhizhang 9 Yu, Guoliang 8 Angiono, Iván Ezequiel 8 Carey, Alan L. 8 Das, Apurba 8 Dolgushev, Vasily A. 8 Dong, Jingcheng 8 Guin, Satyajit 8 Hinz, Michael 8 Joardar, Soumalya 8 Kubota, Yosuke 8 Lin, Huaxin 8 Nest, Ryszard 8 Patras, Frédéric 8 Solotar, Andrea Leonor 8 Tanasă, Adrian 8 Tang, Rong 8 Usachev, Aleksandr Sergeevich 8 van den Dungen, Koenraad Lambertus 8 Ward, Benjamin C. 8 Witherspoon, Sarah J. ...and 2,106 more Authors all top 5 Cited in 298 Journals 171 Journal of Noncommutative Geometry 157 Advances in Mathematics 128 Journal of Algebra 118 Journal of Geometry and Physics 107 Journal of Functional Analysis 104 Communications in Mathematical Physics 66 Letters in Mathematical Physics 57 Journal of Pure and Applied Algebra 56 Journal of Mathematical Physics 46 Communications in Algebra 46 Transactions of the American Mathematical Society 41 Mathematische Zeitschrift 41 Proceedings of the American Mathematical Society 40 Algebras and Representation Theory 39 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 37 Journal of High Energy Physics 35 International Journal of Mathematics 32 Journal of Mathematical Analysis and Applications 29 Annals of \(K\)-Theory 28 Mathematische Annalen 27 Journal of Topology and Analysis 26 Selecta Mathematica. New Series 26 Journal of Algebra and its Applications 20 International Journal of Geometric Methods in Modern Physics 19 Annales Henri Poincaré 18 Ergodic Theory and Dynamical Systems 18 Documenta Mathematica 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Journal of Physics A: Mathematical and Theoretical 17 Journal of Homotopy and Related Structures 16 Israel Journal of Mathematics 16 Memoirs of the American Mathematical Society 16 Algebraic & Geometric Topology 15 Bulletin of the London Mathematical Society 15 Journal für die Reine und Angewandte Mathematik 15 Proceedings of the London Mathematical Society. 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Neuvième Série 8 Journal of the European Mathematical Society (JEMS) 8 Forum of Mathematics, Sigma 7 Compositio Mathematica 7 Illinois Journal of Mathematics 7 Manuscripta Mathematica 7 Results in Mathematics 7 Topology and its Applications 7 Advances in Applied Mathematics 7 Journal of Algebraic Combinatorics 7 The New York Journal of Mathematics 7 Science China. Mathematics 7 Journal of Spectral Theory 6 Bulletin of the Australian Mathematical Society 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Rocky Mountain Journal of Mathematics 6 Fortschritte der Physik 6 Canadian Journal of Mathematics 6 Indiana University Mathematics Journal 6 Annals of Global Analysis and Geometry 6 Geometric and Functional Analysis. GAFA 6 Journal of Mathematical Sciences (New York) 6 Journal of Lie Theory 6 Bulletin des Sciences Mathématiques 6 Transformation Groups 6 Journal of the Institute of Mathematics of Jussieu 6 Frontiers of Mathematics in China 6 Groups, Geometry, and Dynamics 6 Analysis & PDE 5 Nuclear Physics. B 5 Reports on Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Canadian Mathematical Bulletin 5 Duke Mathematical Journal 5 Chinese Annals of Mathematics. Series B 5 Linear Algebra and its Applications 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Expositiones Mathematicae 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Annals of Mathematics. Second Series 5 Communications in Contemporary Mathematics 5 Lobachevskii Journal of Mathematics 5 Journal of the Australian Mathematical Society 5 Algebra & Number Theory 5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 5 Journal of Fractal Geometry ...and 198 more Journals all top 5 Cited in 56 Fields 934 Functional analysis (46-XX) 691 Associative rings and algebras (16-XX) 548 Global analysis, analysis on manifolds (58-XX) 396 Category theory; homological algebra (18-XX) 389 Quantum theory (81-XX) 339 \(K\)-theory (19-XX) 307 Nonassociative rings and algebras (17-XX) 279 Differential geometry (53-XX) 272 Algebraic geometry (14-XX) 223 Group theory and generalizations (20-XX) 191 Topological groups, Lie groups (22-XX) 190 Operator theory (47-XX) 166 Algebraic topology (55-XX) 103 Manifolds and cell complexes (57-XX) 94 Combinatorics (05-XX) 79 Dynamical systems and ergodic theory (37-XX) 78 Partial differential equations (35-XX) 78 Relativity and gravitational theory (83-XX) 74 Commutative algebra (13-XX) 74 Several complex variables and analytic spaces (32-XX) 71 Number theory (11-XX) 36 Abstract harmonic analysis (43-XX) 36 Statistical mechanics, structure of matter (82-XX) 35 Measure and integration (28-XX) 34 Probability theory and stochastic processes (60-XX) 32 Functions of a complex variable (30-XX) 28 Geometry (51-XX) 26 General topology (54-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 21 Mathematical logic and foundations (03-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 18 Potential theory (31-XX) 17 Mechanics of particles and systems (70-XX) 15 Ordinary differential equations (34-XX) 13 General and overarching topics; collections (00-XX) 12 Special functions (33-XX) 11 Convex and discrete geometry (52-XX) 10 Computer science (68-XX) 8 Difference and functional equations (39-XX) 6 Field theory and polynomials (12-XX) 5 General algebraic systems (08-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 5 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Fluid mechanics (76-XX) 3 Astronomy and astrophysics (85-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year