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: 540 Publications (since 2007) References Indexed: 463 Publications with 11,479 References. all top 5 Latest Issues 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 Van den Bergh, Michel 5 Benameur, Moulay-Tahar 5 Dabrowski, Ludwik 5 Dadarlat, Marius 5 Kaufmann, Ralph M. 5 Landi, Giovanni 5 Mathai, Varghese 5 Meyer, Ralf 5 Neshveyev, Sergey V. 5 Tang, Xiang 5 Wang, Hang 4 Brzeziński, Tomasz 4 D’Andrea, Francesco 4 Iochum, Bruno 4 Kaygun, Atabey 4 Khalkhali, Masoud 4 Nest, Ryszard 4 Plymen, Roger J. 4 Ponge, Raphaël S. 4 Rennie, Adam 4 Schick, Thomas 4 Sitarz, Andrzej 4 Solotar, Andrea Leonor 4 Timmermann, Thomas 4 Zieliński, Bartosz 3 Arici, Francesca 3 Banerjee, Abhishek 3 Batanin, Michael A. 3 Bunke, Ulrich 3 Cuntz, Joachim 3 Fathizadeh, Farzad 3 Fima, Pierre 3 Gavarini, Fabio 3 Gayral, Victor 3 Herscovich, Estanislao 3 Kasprzak, Paweł 3 Kowalzig, Niels 3 Kubota, Yosuke 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 Sheng, Yunhe 3 Sołtan, Piotr Mikołaj 3 Sütlü, Serkan 3 Tanasă, Adrian 3 Winter, Wilhelm 3 Wright, Nick J. 2 Aastrup, Johannes 2 Abbaspour, Hossein 2 Agore, Ana-Loredana 2 Arano, Yuki 2 Bai, Chengming 2 Baldare, Alexandre 2 Banica, Teodor 2 Barlak, Selçuk 2 Barmeier, Severin 2 Beggs, Edwin J. 2 Bhowmick, Jyotishman 2 Bichon, Julien 2 Bisi, Cinzia 2 Brain, Simon 2 Brodzki, Jacek 2 Brown, Michael Kegan 2 Chakraborty, Partha Sarathi 2 Chemla, Sophie 2 Chen, Xiaojun 2 Chirvăsitu, Alexandru 2 Chung, Yeong Chyuan 2 Cibils, Claude 2 Connes, Alain 2 Cortiñas, Guillermo H. 2 Crisp, Tyrone 2 Cuadra, Juan 2 Das, Biswarup 2 De Commer, Kenny 2 Deeley, Robin J. 2 Deprez, Steven 2 Dolgushev, Vasily A. 2 Ebrahimi-Fard, Kurusch 2 Echterhoff, Siegfried 2 Elliott, George A. 2 Engel, Alexander 2 Esfahani Zadeh, Mostafa 2 Eshmatov, Farkhod ...and 610 more Authors all top 5 Fields 246 Functional analysis (46-XX) 161 Associative rings and algebras (16-XX) 158 Global analysis, analysis on manifolds (58-XX) 118 \(K\)-theory (19-XX) 83 Category theory; homological algebra (18-XX) 67 Algebraic geometry (14-XX) 66 Differential geometry (53-XX) 64 Quantum theory (81-XX) 62 Nonassociative rings and algebras (17-XX) 46 Algebraic topology (55-XX) 44 Group theory and generalizations (20-XX) 43 Topological groups, Lie groups (22-XX) 26 Operator theory (47-XX) 25 Several complex variables and analytic spaces (32-XX) 16 Commutative algebra (13-XX) 14 Number theory (11-XX) 14 Manifolds and cell complexes (57-XX) 13 Combinatorics (05-XX) 13 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 7 Abstract harmonic analysis (43-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 6 General topology (54-XX) 4 Mathematical logic and foundations (03-XX) 4 Measure and integration (28-XX) 4 Geometry (51-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 General algebraic systems (08-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 447 Publications have been cited 2,898 times in 2,117 Documents Cited by ▼ Year ▼ On the spectral characterization of manifolds. Zbl 1287.58004Connes, Alain 89 2013 Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable. Zbl 1227.46041Winter, Wilhelm 39 2011 Scalar curvature for the noncommutative two torus. Zbl 1295.46053Fathizadeh, Farzad; Khalkhali, Masoud 34 2013 The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure. Zbl 1256.58002Fathizadeh, Farzad; Khalkhali, Masoud 34 2012 Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets. Zbl 1181.46056Pearson, John; Bellissard, Jean 33 2009 Homotopy Batalin-Vilkovisky algebras. Zbl 1258.18005Gálvez-Carrillo, Imma; Tonks, Andrew; Vallette, Bruno 31 2012 The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. Zbl 1144.18007Dolgushev, Vasiliy A.; Tamarkin, Dmitry; Tsygan, Boris 31 2007 Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras. Zbl 1161.16022Berger, Roland; Taillefer, Rachel 30 2007 Fusion rules for quantum reflection groups. Zbl 1203.46048Banica, Teodor; Vergnioux, Roland 30 2009 Bordism, rho-invariants and the Baum-Connes conjecture. Zbl 1158.58012Piazza, Paolo; Schick, Thomas 27 2007 Scalar curvature for noncommutative four-tori. Zbl 1332.46071Fathizadeh, Farzad; Khalkhali, Masoud 26 2015 Gauge theory for spectral triples and the unbounded Kasparov product. Zbl 1341.58007Brain, Simon; Mesland, Bram; van Suijlekom, Walter D. 26 2016 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 24 2009 Noncommutative quadric surfaces. Zbl 1290.14003Smith, S. Paul; Van den Bergh, Michel 24 2013 Dirac operators on all Podleś quantum spheres. Zbl 1121.58008Dąbrowski, Ludwik; D’Andrea, Francesco; Landi, Giovanni; Wagner, Elmar 24 2007 Double constructions of Frobenius algebras, Connes cocycles and their duality. Zbl 1250.17028Bai, Chengming 23 2010 Twisted Calabi-Yau property of Ore extensions. Zbl 1317.16025Liu, Liyu; Wang, Shengqiang; Wu, Quanshui 23 2014 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators. Zbl 1169.55005Kaufmann, Ralph M. 22 2008 Twisting on associative algebras and Rota-Baxter type operators. Zbl 1248.16027Uchino, Kyousuke 21 2010 Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus. Zbl 1226.81279Cagnache, Eric; Masson, Thierry; Wallet, Jean-Christophe 21 2011 Pseudodifferential calculus on a singular foliation. Zbl 1216.53029Androulidakis, Iakovos; Skandalis, Georges 21 2011 Non-commutative resolutions and Grothendieck groups. Zbl 1327.13053Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Vial, Charles 21 2015 The cyclic theory of Hopf algebroids. Zbl 1262.16030Kowalzig, Niels; Posthuma, Hessel 21 2011 Easy quantum groups and quantum subgroups of a semi-direct product quantum group. Zbl 1350.46047Raum, Sven; Weber, Moritz 21 2015 The closed state space of affine Landau-Ginzburg B-models. Zbl 1286.14003Segal, Ed 20 2013 Topological graph polynomials and quantum field theory. I: Theory kernel theories. Zbl 1186.81095Krajewski, Thomas; Rivasseau, Vincent; Tanasă, Adrian; Wang, Zhituo 20 2010 The Baum-Connes conjecture with coefficients for hyperbolic groups. (La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques.) Zbl 1328.19010Lafforgue, Vincent 20 2012 On the structure of (co-Frobenius) Hopf algebras. Zbl 1279.16024Andruskiewitsch, Nicolás; Cuadra, Juan 19 2013 C*-algebras associated with integral domains and crossed products by actions on adele spaces. Zbl 1229.46044Cuntz, Joachim; Li, Xin 19 2011 Geometric cycles, index theory and twisted \(K\)-homology. Zbl 1169.19003Wang, Bai-Ling 18 2008 Property (T) and exotic quantum group norms. Zbl 1277.46041Kyed, David; Sołtan, Piotr M. 18 2012 Crossed products by compact group actions with the Rokhlin property. Zbl 1390.46060Gardella, Eusebio 18 2017 Chow motives versus noncommutative motives. Zbl 1296.14019Tabuada, Gonçalo 17 2013 Metric and spectral triples for Dirichlet and resistance forms. Zbl 1327.81236Hinz, Michael; Kelleher, Daniel J.; Teplyaev, Alexander 17 2015 Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004Beggs, Edwin; Majid, Shahn 17 2017 Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001Kasparov, Gennadi 17 2016 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. Zbl 1145.55008Kaufmann, Ralph M. 16 2007 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 1267.16009Lambre, Thierry 16 2010 Noncommutative \(\varepsilon \)-graded connections. Zbl 1275.58003de Goursac, Axel; Masson, Thierry; Wallet, Jean-Christophe 16 2012 Uniform local amenability. Zbl 1281.46023Brodzki, Jacek; Niblo, Graham A.; Špakula, Ján; Willett, Rufus; Wright, Nick 16 2013 Quantum \(\mathrm{SO}(3)\) groups and quantum group actions on \(M_{2}\). Zbl 1194.46108Sołtan, Piotr M. 16 2010 Pimsner algebras and Gysin sequences from principal circle actions. Zbl 1342.19006Arici, Francesca; Kaad, Jens; Landi, Giovanni 15 2016 Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem. Zbl 1343.58004Ponge, Raphaël; Wang, Hang 15 2016 McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J. 15 2019 Hereditary triangulated categories. Zbl 1430.18010Chen, Xiao-Wu; Ringel, Claus Michael 15 2018 Spectral geometry of the Moyal plane with harmonic propagation. Zbl 1295.46054Gayral, Victor; Wulkenhaar, Raimar 14 2013 Quantales of open groupoids. Zbl 1253.06019Protin, M. Clarence; Resende, Pedro 14 2012 Spectral triples and the geometry of fractals. Zbl 1244.28010Christensen, Erik; Ivan, Cristina; Schrohe, Elmar 14 2012 On the classification of certain fusion categories. Zbl 1208.18004Jordan, David; Larson, Eric 14 2009 Idempotent states on compact quantum groups and their classification on \(\mathrm{U}_q(2)\), \(\mathrm{su}_q(2)\), and \(\mathrm{SO}_q(3)\). Zbl 1300.46060Franz, Uwe; Skalski, Adam; Tomatsu, Reiji 14 2013 Piecewise principal comodule algebras. Zbl 1258.16036Hajac, Piotr M.; Krähmer, Ulrich; Matthes, Rainer; Zieliński, Bartosz 14 2011 Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras. Zbl 1422.16004Bao, Yanhong; He, Jiwei; Zhang, James J. 14 2019 Graph products of operator algebras. Zbl 1373.46055Caspers, Martijn; Fima, Pierre 14 2017 The spectral localizer for even index pairings. Zbl 1441.19011Loring, Terry A.; Schulz-Baldes, Hermann 14 2020 Inequalities à la Frölicher and cohomological decompositions. Zbl 1325.32018Angella, Daniele; Tomassini, Adriano 13 2015 The Novikov conjecture on Cheeger spaces. Zbl 1375.57034Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 13 2017 Tate-Hochschild homology and cohomology of Frobenius algebras. Zbl 1305.16007Bergh, Petter Andreas; Jorgensen, David A. 12 2013 Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture. Zbl 1192.46066Ji, Ronghui; Ogle, Crichton; Ramsey, Bobby 12 2010 The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras. Zbl 1348.46066Barlak, Selçuk; Enders, Dominic; Matui, Hiroki; Szabó, Gábor; Winter, Wilhelm 12 2015 Modular envelopes, OSFT and nonsymmetric (non-\(\Sigma\)) modular operads. Zbl 1375.81205Markl, Martin 12 2016 The Ricci curvature in noncommutative geometry. Zbl 1417.58003Floricel, Remus; Ghorbanpour, Asghar; Khalkhali, Masoud 12 2019 Riemannian curvature of the noncommutative 3-sphere. Zbl 1378.46053Arnlind, Joakim; Wilson, Mitsuru 12 2017 \(L^2\)-index formula for proper cocompact group actions. Zbl 1338.19008Wang, Hang 12 2014 Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 12 2020 Strongly self-absorbing \(C^*\)-dynamical systems. II. Zbl 1398.46058Szabó, Gábor 12 2018 Spectral action on noncommutative torus. Zbl 1156.46046Essouabri, Driss; Iochum, Bruno; Levy, Cyril; Sitarz, Andrzej 11 2008 Hopf algebra of non-commutative field theory. Zbl 1181.81101Tanasă, Adrian; Vignes-Tourneret, Fabien 11 2008 Group quasi-representations and almost flat bundles. Zbl 1296.46058Dadarlat, Marius 11 2014 Star product realizations of \(\kappa \)-Minkowski space. Zbl 1282.46063Durhuus, Bergfinnur; Sitarz, Andrzej 11 2013 Periodic cyclic homology of reductive \(p\)-adic groups. Zbl 1181.22018Solleveld, Maarten 11 2009 Dirac operators and geodesic metric on the harmonic Sierpiński gasket and other fractal sets. Zbl 1320.28015Lapidus, Michel L.; Sarhad, Jonathan J. 11 2014 Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\). Zbl 1325.46074Voiculescu, Dan-Virgil 11 2014 On spectral triples in quantum gravity. II. Zbl 1158.46312Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard 11 2009 Simple equivariant \(\mathrm{C}^\ast\)-algebras whose full and reduced crossed products coincide. Zbl 1453.46060Suzuki, Yuhei 11 2019 On compact bicrossed products. Zbl 1410.46054Fima, Pierre; Mukherjee, Kunal; Patri, Issan 11 2017 Riemannian submersions and factorization of Dirac operators. Zbl 1405.19002Kaad, Jens; van Suijlekom, Walter D. 11 2018 Phase transition in the Connes-Marcolli \(\mathrm{GL}_2\)-system. Zbl 1143.46039Laca, Marcelo; Larsen, Nadia S.; Neshveyev, Sergey 10 2007 Classification of traces and hypertraces on spaces of classical pseudodifferential operators. Zbl 1272.58015Lesch, Matthias; Jiménez, Carolina Neira 10 2013 A noncommutative sigma-model. Zbl 1260.58004Mathai, Varghese; Rosenberg, Jonathan 10 2011 Complete positivity of Rieffel’s deformation quantization by actions of \(\mathbb R^d\). Zbl 1172.53055Kaschek, Daniel; Neumaier, Nikolai; Waldmann, Stefan 10 2009 The Chern character of semifinite spectral triples. Zbl 1157.46045Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A. 10 2008 The homotopy groups of the automorphism group of Kirchberg algebras. Zbl 1144.46047Dadarlat, Marius 10 2007 On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010Natale, Sonia 10 2014 Matrix factorizations and semi-orthogonal decompositions for blowing-ups. Zbl 1360.14063Lunts, Valery A.; Schnürer, Olaf M. 10 2016 On Frobenius and separable algebra extensions in monoidal categories: applications to wreaths. Zbl 1347.16035Bulacu, Daniel; Torrecillas, Blas 10 2015 A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group. Zbl 1346.46062Dadarlat, Marius; Pennig, Ulrich 10 2015 The homology of the Katsura-Exel-Pardo groupoid. Zbl 1479.46080Ortega, Eduard 10 2020 About the convolution of distributions on groupoids. Zbl 1385.46026Lescure, Jean-Marie; Manchon, Dominique; Vassout, Stéphane 10 2017 Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010Savin, Anton; Sternin, Boris 10 2014 Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 10 2014 Gerstenhaber brackets on Hochschild cohomology of twisted tensor products. Zbl 1382.16005Grimley, Lauren; Nguyen, Van C.; Witherspoon, Sarah 10 2017 Regularity and dimension spectrum of the equivariant spectral triple for the odd-dimensional quantum spheres. Zbl 1200.58005Pal, Arupkumar; Sundar, S. 9 2010 Electrodynamics from noncommutative geometry. Zbl 1272.58006van den Dungen, Koen; van Suijlekom, Walter D. 9 2013 Presheaves of symmetric tensor categories and nets of \(C^\ast\)-algebras. Zbl 1349.46059Vasselli, Ezio 9 2015 \(\mathbf{A}^1\)-homotopy theory of noncommutative motives. Zbl 1345.14008Tabuada, Gonçalo 9 2015 The Gysin sequence for quantum Lens spaces. Zbl 1404.46063Arici, Francesca; Brain, Simon; Landi, Giovanni 9 2015 Invariant subsets under compact quantum group actions. Zbl 1359.46061Huang, Huichi 9 2016 Isomorphism invariants for multivariable \(C^\ast\)-dynamics. Zbl 1328.47078Kakariadis, Evgenios T. A.; Katsoulis, Elias G. 9 2014 Differentiable absorption of Hilbert \(C^\ast\)-modules, connections, and lifts of unbounded operators. Zbl 1386.46045Kaad, Jens 9 2017 Braided quantum SU(2) groups. Zbl 1358.81128Kasprzak, Paweł; Meyer, Ralf; Roy, Sutanu; Woronowicz, Stanisław Lech 9 2016 Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type. Zbl 07722565Angiono, Iván Ezequiel; Campagnolo, Emiliano; Sanmarco, Guillermo 2 2023 Callias-type operators associated to spectral triples. Zbl 07722566Schulz-Baldes, Hermann; Stoiber, Tom 2 2023 Connes’ integration and Weyl’s laws. Zbl 07722571Ponge, Raphaël 2 2023 Homotopy Rota-Baxter operators and post-Lie algebras. Zbl 07687929Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe 1 2023 Non-embeddable \(\mathrm{II}_1\) factors resembling the hyperfinite \(\mathrm{II}_1\) factor. Zbl 07687936Goldbring, Isaac 1 2023 Pseudodifferential operators on filtered manifolds as generalized fixed points. Zbl 1511.58011Ewert, Eske 1 2023 Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks. Zbl 07722562Biswas, Indranil; Chatterjee, Saikat; Koushik, Praphulla; Neumann, Frank 1 2023 Geometric similarity invariants of Cowen-Douglas operators. Zbl 07722567Jiang, Chunlan; Ji, Kui; Keshari, Dinesh Kumar 1 2023 Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. Zbl 07674619Tang, Rong; Sheng, Yunhe 3 2022 Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem. Zbl 1490.19012Loizides, Yiannis 2 2022 Quantum Euclidean spaces with noncommutative derivatives. Zbl 1508.46052Gao, Li; Junge, Marius; McDonald, Edward 2 2022 The relative Mishchenko-Fomenko higher index and almost flat bundles. II: Almost flat index pairing. Zbl 1490.19008Kubota, Yosuke 2 2022 The Novikov conjecture and extensions of coarsely embeddable groups. Zbl 1498.19005Deng, Jintao 2 2022 An equivariant pullback structure of trimmable graph \(C^{\ast}\)-algebras. Zbl 1515.46047Arici, Francesca; D’Andrea, Francesco; Hajac, Piotr M.; Tobolski, Mariusz 2 2022 Multiparameter quantum groups at roots of unity. Zbl 07629320García, Gastón Andrés; Gavarini, Fabio 2 2022 Cyclic cocycles in the spectral action. Zbl 1511.46051van Nuland, Teun D. H.; van Suijlekom, Walter D. 2 2022 Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models. Zbl 1511.58002Pérez-Sánchez, Carlos I. 2 2022 Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 07674626Arone, Gregory; Barnea, Ilan; Schlank, Tomer M. 2 2022 Lifting theorems for completely positive maps. Zbl 1506.46042Gabe, James 1 2022 Polarization and deformations of generalized dendriform algebras. Zbl 07597894Ospel, Cyrille; Panaite, Florin; Vanhaecke, Pol 1 2022 Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\). Zbl 1510.32005Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 1 2022 A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces. Zbl 1515.16014Kaufmann, Ralph M. 1 2022 Quantizations of local surfaces and rebel instantons. Zbl 1493.14015Barmeier, Severin; Gasparim, Elizabeth 1 2022 Iterated Hopf Ore extensions in positive characteristic. Zbl 1510.16028Brown, Kenneth A.; Zhang, James J. 1 2022 A noncommutative extension of Mahler’s interpolation theorem. Zbl 07629324Pin, Jean-Éric; Reutenauer, Christophe 1 2022 A proof of a conjecture of Shklyarov. Zbl 07674628Brown, Michael K.; Walker, Mark E. 1 2022 The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations. Zbl 1481.46052Lawson, Mark V.; Vdovina, Alina 5 2021 Quotients of singular foliations and Lie 2-group actions. Zbl 1486.22002Garmendia, Alfonso; Zambon, Marco 4 2021 The dual modular Gromov-Hausdorff propinquity and completeness. Zbl 1481.46078Latrémolière, Frédéric 4 2021 The unbounded Kasparov product by a differentiable module. Zbl 1490.19006Kaad, Jens 3 2021 A categorical characterization of quantum projective spaces. Zbl 07471019Mori, Izuru; Ueyama, Kenta 3 2021 Polyvector fields and polydifferential operators associated with Lie pairs. Zbl 1492.53093Bandiera, Ruggero; Stiénon, Mathieu; Xu, Ping 3 2021 The adiabatic groupoid and the Higson-Roe exact sequence. Zbl 1511.19005Zenobi, Vito Felice 3 2021 Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras. Zbl 1494.53101Chen, Xiaojun; Chen, Youming; Eshmatov, Farkhod; Yang, Song 3 2021 Covering-monopole map and higher degree in non-commutative geometry. Zbl 1509.58002Kato, Tsuyoshi 3 2021 The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families. Zbl 1469.19007Benameur, Moulay-Tahar; Roy, Indrava 3 2021 Cup product on \(A_\infty\)-cohomology and deformations. Zbl 1492.16029Sharapov, Alexey A.; Skvortsov, Evgeny D. 3 2021 Invariant Markov semigroups on quantum homogeneous spaces. Zbl 1486.46070Das, Biswarup; Franz, Uwe; Wang, Xumin 2 2021 Odd characteristic classes in entire cyclic homology and equivariant loop space homology. Zbl 1494.55013Cacciatori, Sergio; Güneysu, Batu 2 2021 Quasifolds, diffeology and noncommutative geometry. Zbl 1487.58002Iglesias-Zemmour, Patrick; Prato, Elisa 2 2021 \(G\)-homotopy invariance of the analytic signature of proper co-compact \(G\)-manifolds and equivariant Novikov conjecture. Zbl 1511.19007Fukumoto, Yoshiyasu 2 2021 Equivalences of (co)module algebra structures over Hopf algebras. Zbl 1491.16042Agore, Ana L.; Gordienko, Alexey; Vercruysse, Joost 2 2021 Strict quantization of coadjoint orbits. Zbl 1491.53094Schmitt, Philipp 2 2021 Quadratic Lie conformal superalgebras related to Novikov superalgebras. 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Zbl 1448.16010Rivera, Manuel; Wang, Zhengfang 4 2019 ...and 347 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,851 Authors 24 Marcolli, Matilde 21 Rennie, Adam 20 Chirvăsitu, Alexandru 20 Skalski, Adam G. 19 Sitarz, Andrzej 19 Van den Bergh, Michel 18 Dabrowski, Ludwik 17 van Suijlekom, Walter Daniël 16 Brzeziński, Tomasz 15 Bai, Chengming 15 D’Andrea, Francesco 15 Tabuada, Gonçalo 15 Wallet, Jean-Christophe 14 Goswami, Debashish 14 Landi, Giovanni 14 Martinetti, Pierre 14 Ponge, Raphaël S. 14 Szabó, Gábor 13 Banica, Teodor 13 Goffeng, Magnus 13 Kaufmann, Ralph M. 13 Khalkhali, Masoud 13 Neshveyev, Sergey V. 13 Sheng, Yunhe 13 Sukochev, Fedor Anatol’evich 13 Weber, Moritz 12 Kaad, Jens 12 Mesland, Bram 12 Sołtan, Piotr Mikołaj 11 Connes, Alain 11 Guo, Li 11 Hochs, Peter 11 Li, Xin 11 Mathai, Varghese 11 Piazza, Paolo 11 Sims, Aidan 11 Ueyama, Kenta 11 Zhang, James J. 11 Zhang, Yinhuo 10 Benameur, Moulay-Tahar 10 Bhowmick, Jyotishman 10 Dadarlat, Marius 10 Ebrahimi-Fard, Kurusch 10 Freslon, Amaury 10 Hajac, Piotr M. 10 Iochum, Bruno 10 Kasprzak, Paweł 10 Liu, Jiefeng 10 Meyer, Ralf 10 Savin, Anton Yur’evich 10 Teplyaev, Alexander 10 Wang, Hang 9 Chen, Xiaojun 9 Fathizadeh, Farzad 9 Gardella, Eusebio 9 He, Jiwei 9 Luef, Franz 9 Majid, Shahn 9 Pennig, Ulrich 9 Resende, Pedro 9 Sati, Hisham 9 Torrecillas Jover, Blas 9 Winter, Wilhelm 8 Angiono, Iván Ezequiel 8 Arici, Francesca 8 Carey, Alan L. 8 Dolgushev, Vasily A. 8 Manchon, Dominique 8 Nest, Ryszard 8 Schulz-Baldes, Hermann 8 Solleveld, Maarten 8 Tanasă, Adrian 8 Usachev, Aleksandr Sergeevich 8 van den Dungen, Koenraad Lambertus 8 Vitale, Patrizia 8 Walton, Chelsea 8 Willett, Rufus 8 Witherspoon, Sarah J. 7 Caspers, Martijn 7 Deeley, Robin J. 7 Dong, Jingcheng 7 Gayral, Victor 7 Gromada, Daniel 7 Guin, Satyajit 7 Guo, Hao 7 Hinz, Michael 7 Kubota, Yosuke 7 Laca, Marcelo 7 Larsen, Nadia S. 7 Mahanta, Snigdhayan 7 Patras, Frédéric 7 Rivasseau, Vincent 7 Schedler, Travis 7 van Oystaeyen, Freddy 7 Wang, Xingting 7 Wang, Yong 7 Willwacher, Thomas Hans 6 Andruskiewitsch, Nicolás 6 Angella, Daniele 6 Bisi, Cinzia ...and 1,751 more Authors all top 5 Cited in 261 Journals 138 Journal of Noncommutative Geometry 135 Advances in Mathematics 105 Journal of Geometry and Physics 104 Journal of Algebra 94 Communications in Mathematical Physics 82 Journal of Functional Analysis 55 Letters in Mathematical Physics 50 Journal of Pure and Applied Algebra 49 Journal of Mathematical Physics 40 Transactions of the American Mathematical Society 37 Communications in Algebra 36 Mathematische Zeitschrift 35 SIGMA. 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GAFA 5 Journal of Mathematical Sciences (New York) 5 Transformation Groups 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Annals of Mathematics. Second Series 5 Lobachevskii Journal of Mathematics 5 Journal of the Australian Mathematical Society 5 Oberwolfach Reports 5 Algebra & Number Theory 5 Analysis & PDE 5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 4 Classical and Quantum Gravity 4 Reports on Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Canadian Mathematical Bulletin 4 Journal of Combinatorial Theory. Series A 4 Journal of Number Theory 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Bulletin of the Iranian Mathematical Society 4 International Journal of Algebra and Computation 4 Differential Geometry and its Applications 4 Expositiones Mathematicae 4 Journal of Algebraic Combinatorics 4 The New York Journal of Mathematics 4 Journal of Lie Theory 4 Journal of Pseudo-Differential Operators and Applications 4 Journal of Fractal Geometry 4 Higher Structures 3 Mathematical Notes 3 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 161 more Journals all top 5 Cited in 55 Fields 773 Functional analysis (46-XX) 565 Associative rings and algebras (16-XX) 460 Global analysis, analysis on manifolds (58-XX) 331 Category theory; homological algebra (18-XX) 325 Quantum theory (81-XX) 280 \(K\)-theory (19-XX) 232 Algebraic geometry (14-XX) 223 Differential geometry (53-XX) 220 Nonassociative rings and algebras (17-XX) 188 Group theory and generalizations (20-XX) 153 Topological groups, Lie groups (22-XX) 143 Operator theory (47-XX) 133 Algebraic topology (55-XX) 87 Manifolds and cell complexes (57-XX) 78 Combinatorics (05-XX) 65 Commutative algebra (13-XX) 65 Dynamical systems and ergodic theory (37-XX) 63 Number theory (11-XX) 60 Relativity and gravitational theory (83-XX) 59 Several complex variables and analytic spaces (32-XX) 57 Partial differential equations (35-XX) 36 Statistical mechanics, structure of matter (82-XX) 32 Measure and integration (28-XX) 28 Abstract harmonic analysis (43-XX) 26 General topology (54-XX) 26 Probability theory and stochastic processes (60-XX) 24 Functions of a complex variable (30-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Mathematical logic and foundations (03-XX) 16 Geometry (51-XX) 15 Potential theory (31-XX) 14 Mechanics of particles and systems (70-XX) 12 Ordinary differential equations (34-XX) 11 Special functions (33-XX) 9 Convex and discrete geometry (52-XX) 9 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 5 Integral equations (45-XX) 5 Information and communication theory, circuits (94-XX) 4 Field theory and polynomials (12-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year