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: Indexed cover-to-cover Documents Indexed: 529 Publications (since 2007) References Indexed: 452 Publications with 11,083 References. all top 5 Latest Issues 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 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 Ponge, Raphaël S. 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 595 more Authors all top 5 Fields 241 Functional analysis (46-XX) 159 Associative rings and algebras (16-XX) 155 Global analysis, analysis on manifolds (58-XX) 115 \(K\)-theory (19-XX) 81 Category theory; homological algebra (18-XX) 66 Algebraic geometry (14-XX) 63 Differential geometry (53-XX) 63 Quantum theory (81-XX) 61 Nonassociative rings and algebras (17-XX) 45 Algebraic topology (55-XX) 44 Group theory and generalizations (20-XX) 42 Topological groups, Lie groups (22-XX) 25 Operator theory (47-XX) 24 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) 12 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 7 Abstract harmonic analysis (43-XX) 7 General topology (54-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-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 420 Publications have been cited 2,682 times in 1,966 Documents Cited by ▼ Year ▼ On the spectral characterization of manifolds. Zbl 1287.58004Connes, Alain 84 2013 Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable. Zbl 1227.46041Winter, Wilhelm 38 2011 The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure. Zbl 1256.58002Fathizadeh, Farzad; Khalkhali, Masoud 33 2012 Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets. Zbl 1181.46056Pearson, John; Bellissard, Jean 33 2009 Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras. Zbl 1161.16022Berger, Roland; Taillefer, Rachel 32 2007 Scalar curvature for the noncommutative two torus. Zbl 1295.46053Fathizadeh, Farzad; Khalkhali, Masoud 32 2013 The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. Zbl 1144.18007Dolgushev, Vasiliy A.; Tamarkin, Dmitry; Tsygan, Boris 30 2007 Fusion rules for quantum reflection groups. Zbl 1203.46048Banica, Teodor; Vergnioux, Roland 30 2009 Homotopy Batalin-Vilkovisky algebras. Zbl 1258.18005Gálvez-Carrillo, Imma; Tonks, Andrew; Vallette, Bruno 28 2012 Bordism, rho-invariants and the Baum-Connes conjecture. Zbl 1158.58012Piazza, Paolo; Schick, Thomas 27 2007 Gauge theory for spectral triples and the unbounded Kasparov product. Zbl 1341.58007Brain, Simon; Mesland, Bram; van Suijlekom, Walter D. 26 2016 Scalar curvature for noncommutative four-tori. Zbl 1332.46071Fathizadeh, Farzad; Khalkhali, Masoud 25 2015 Dirac operators on all Podleś quantum spheres. Zbl 1121.58008Dąbrowski, Ludwik; D’Andrea, Francesco; Landi, Giovanni; Wagner, Elmar 24 2007 Twisted Calabi-Yau property of Ore extensions. Zbl 1317.16025Liu, Liyu; Wang, Shengqiang; Wu, Quanshui 23 2014 A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric 23 2009 Noncommutative quadric surfaces. Zbl 1290.14003Smith, S. Paul; Van den Bergh, Michel 22 2013 Twisting on associative algebras and Rota-Baxter type operators. Zbl 1248.16027Uchino, Kyousuke 21 2010 Non-commutative resolutions and Grothendieck groups. Zbl 1327.13053Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Vial, Charles 21 2015 Double constructions of Frobenius algebras, Connes cocycles and their duality. Zbl 1250.17028Bai, Chengming 21 2010 Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus. Zbl 1226.81279Cagnache, Eric; Masson, Thierry; Wallet, Jean-Christophe 20 2011 The cyclic theory of Hopf algebroids. Zbl 1262.16030Kowalzig, Niels; Posthuma, Hessel 20 2011 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators. Zbl 1169.55005Kaufmann, Ralph M. 20 2008 Easy quantum groups and quantum subgroups of a semi-direct product quantum group. Zbl 1350.46047Raum, Sven; Weber, Moritz 19 2015 Pseudodifferential calculus on a singular foliation. Zbl 1216.53029Androulidakis, Iakovos; Skandalis, Georges 19 2011 Topological graph polynomials and quantum field theory. I: Theory kernel theories. Zbl 1186.81095Krajewski, Thomas; Rivasseau, Vincent; Tanasă, Adrian; Wang, Zhituo 19 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 19 2012 On the structure of (co-Frobenius) Hopf algebras. Zbl 1279.16024Andruskiewitsch, Nicolás; Cuadra, Juan 19 2013 Property (T) and exotic quantum group norms. Zbl 1277.46041Kyed, David; Sołtan, Piotr M. 18 2012 C*-algebras associated with integral domains and crossed products by actions on adele spaces. Zbl 1229.46044Cuntz, Joachim; Li, Xin 18 2011 The closed state space of affine Landau-Ginzburg B-models. Zbl 1286.14003Segal, Ed 18 2013 Geometric cycles, index theory and twisted \(K\)-homology. Zbl 1169.19003Wang, Bai-Ling 18 2008 Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001Kasparov, Gennadi 17 2016 Chow motives versus noncommutative motives. Zbl 1296.14019Tabuada, Gonçalo 17 2013 Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004Beggs, Edwin; Majid, Shahn 17 2017 Crossed products by compact group actions with the Rokhlin property. Zbl 1390.46060Gardella, Eusebio 16 2017 Metric and spectral triples for Dirichlet and resistance forms. Zbl 1327.81236Hinz, Michael; Kelleher, Daniel J.; Teplyaev, Alexander 16 2015 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 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 Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. Zbl 1145.55008Kaufmann, Ralph M. 15 2007 Quantum \(\mathrm{SO}(3)\) groups and quantum group actions on \(M_{2}\). Zbl 1194.46108Sołtan, Piotr M. 15 2010 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 14 2010 Graph products of operator algebras. Zbl 1373.46055Caspers, Martijn; Fima, Pierre 14 2017 Piecewise principal comodule algebras. Zbl 1258.16036Hajac, Piotr M.; Krähmer, Ulrich; Matthes, Rainer; Zieliński, Bartosz 14 2011 Quantales of open groupoids. Zbl 1253.06019Protin, M. Clarence; Resende, Pedro 14 2012 On the classification of certain fusion categories. Zbl 1208.18004Jordan, David; Larson, Eric 14 2009 Inequalities à la Frölicher and cohomological decompositions. Zbl 1325.32018Angella, Daniele; Tomassini, Adriano 13 2015 Hereditary triangulated categories. Zbl 1430.18010Chen, Xiao-Wu; Ringel, Claus Michael 13 2018 McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J. 13 2019 The Novikov conjecture on Cheeger spaces. Zbl 1375.57034Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo 13 2017 Spectral triples and the geometry of fractals. Zbl 1244.28010Christensen, Erik; Ivan, Cristina; Schrohe, Elmar 13 2012 Spectral geometry of the Moyal plane with harmonic propagation. Zbl 1295.46054Gayral, Victor; Wulkenhaar, Raimar 13 2013 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 13 2013 Modular envelopes, OSFT and nonsymmetric (non-\(\Sigma\)) modular operads. Zbl 1375.81205Markl, Martin 12 2016 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 \(L^2\)-index formula for proper cocompact group actions. Zbl 1338.19008Wang, Hang 12 2014 Hopf algebra of non-commutative field theory. Zbl 1181.81101Tanasă, Adrian; Vignes-Tourneret, Fabien 12 2008 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 Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture. Zbl 1192.46066Ji, Ronghui; Ogle, Crichton; Ramsey, Bobby 12 2010 On spectral triples in quantum gravity. II. Zbl 1158.46312Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard 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 Spectral action on noncommutative torus. Zbl 1156.46046Essouabri, Driss; Iochum, Bruno; Levy, Cyril; Sitarz, Andrzej 11 2008 Riemannian submersions and factorization of Dirac operators. Zbl 1405.19002Kaad, Jens; van Suijlekom, Walter D. 11 2018 Periodic cyclic homology of reductive \(p\)-adic groups. Zbl 1181.22018Solleveld, Maarten 11 2009 Gerstenhaber brackets on Hochschild cohomology of twisted tensor products. Zbl 1382.16005Grimley, Lauren; Nguyen, Van C.; Witherspoon, Sarah 10 2017 On compact bicrossed products. Zbl 1410.46054Fima, Pierre; Mukherjee, Kunal; Patri, Issan 10 2017 A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group. Zbl 1346.46062Dadarlat, Marius; Pennig, Ulrich 10 2015 Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy 10 2014 Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010Savin, Anton; Sternin, Boris 10 2014 On Frobenius and separable algebra extensions in monoidal categories: applications to wreaths. Zbl 1347.16035Bulacu, Daniel; Torrecillas, Blas 10 2015 On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010Natale, Sonia 10 2014 Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\). Zbl 1325.46074Voiculescu, Dan-Virgil 10 2014 Strongly self-absorbing \(C^*\)-dynamical systems. II. Zbl 1398.46058Szabó, Gábor 10 2018 Phase transition in the Connes-Marcolli \(\mathrm{GL}_2\)-system. Zbl 1143.46039Laca, Marcelo; Larsen, Nadia S.; Neshveyev, Sergey 10 2007 Star product realizations of \(\kappa \)-Minkowski space. Zbl 1282.46063Durhuus, Bergfinnur; Sitarz, Andrzej 10 2013 A noncommutative sigma-model. Zbl 1260.58004Mathai, Varghese; Rosenberg, Jonathan 10 2011 Tate-Hochschild homology and cohomology of Frobenius algebras. Zbl 1305.16007Bergh, Petter Andreas; Jorgensen, David A. 10 2013 Group quasi-representations and almost flat bundles. Zbl 1296.46058Dadarlat, Marius 10 2014 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 Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras. Zbl 1422.16004Bao, Yanhong; He, Jiwei; Zhang, James J. 10 2019 Complete positivity of Rieffel’s deformation quantization by actions of \(\mathbb R^d\). Zbl 1172.53055Kaschek, Daniel; Neumaier, Nikolai; Waldmann, Stefan 10 2009 On quaternionic tori and their moduli space. Zbl 1405.30051Bisi, Cinzia; Gentili, Graziano 9 2018 Modular curvature for toric noncommutative manifolds. Zbl 1403.46056Liu, Yang 9 2018 Differentiable absorption of Hilbert \(C^\ast\)-modules, connections, and lifts of unbounded operators. Zbl 1386.46045Kaad, Jens 9 2017 Invariant subsets under compact quantum group actions. Zbl 1359.46061Huang, Huichi 9 2016 Regularity and dimension spectrum of the equivariant spectral triple for the odd-dimensional quantum spheres. Zbl 1200.58005Pal, Arupkumar; Sundar, S. 9 2010 \(\mathbf{A}^1\)-homotopy theory of noncommutative motives. Zbl 1345.14008Tabuada, Gonçalo 9 2015 Presheaves of symmetric tensor categories and nets of \(C^\ast\)-algebras. Zbl 1349.46059Vasselli, Ezio 9 2015 Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula. Zbl 1373.46067Lesch, Matthias 9 2017 Simple equivariant \(\mathrm{C}^\ast\)-algebras whose full and reduced crossed products coincide. Zbl 1453.46060Suzuki, Yuhei 9 2019 Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants. Zbl 1417.58005Ponge, Raphaël; Wang, Hang 9 2018 About the convolution of distributions on groupoids. Zbl 1385.46026Lescure, Jean-Marie; Manchon, Dominique; Vassout, Stéphane 9 2017 Electrodynamics from noncommutative geometry. Zbl 1272.58006van den Dungen, Koen; van Suijlekom, Walter D. 9 2013 Classification of traces and hypertraces on spaces of classical pseudodifferential operators. Zbl 1272.58015Lesch, Matthias; Jiménez, Carolina Neira 9 2013 The spectral localizer for even index pairings. Zbl 1441.19011Loring, Terry A.; Schulz-Baldes, Hermann 9 2020 Large scale index of multi-partitioned manifolds. Zbl 1402.19005Schick, Thomas; Zadeh, Mostafa Esfahani 8 2018 \(\mathcal{A}_\infty\)-functors and homotopy theory of dg-categories. Zbl 1390.18034Faonte, Giovanni 8 2017 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 Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. Zbl 07674619Tang, Rong; Sheng, Yunhe 2 2022 Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 07674626Arone, Gregory; Barnea, Ilan; Schlank, Tomer M. 2 2022 Quantum Euclidean spaces with noncommutative derivatives. Zbl 1508.46052Gao, Li; Junge, Marius; McDonald, Edward 1 2022 Quantizations of local surfaces and rebel instantons. Zbl 1493.14015Barmeier, Severin; Gasparim, Elizabeth 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 07597897Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina 1 2022 The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations. Zbl 1481.46052Lawson, Mark V.; Vdovina, Alina 4 2021 The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families. Zbl 1469.19007Benameur, Moulay-Tahar; Roy, Indrava 3 2021 Covering-monopole map and higher degree in non-commutative geometry. Zbl 07471135Kato, Tsuyoshi 3 2021 K-theory and homotopies of twists on ample groupoids. Zbl 1477.46077Bönicke, Christian 2 2021 Cyclic \(A_\infty\)-algebras and double Poisson algebras. Zbl 1484.16009Fernández, David; Herscovich, Estanislao 2 2021 The dual modular Gromov-Hausdorff propinquity and completeness. Zbl 1481.46078Latrémolière, Frédéric 2 2021 A categorical characterization of quantum projective spaces. Zbl 07471019Mori, Izuru; Ueyama, Kenta 2 2021 Odd characteristic classes in entire cyclic homology and equivariant loop space homology. Zbl 1494.55013Cacciatori, Sergio; Güneysu, Batu 2 2021 \(G\)-homotopy invariance of the analytic signature of proper co-compact \(G\)-manifolds and equivariant Novikov conjecture. Zbl 07471128Fukumoto, Yoshiyasu 2 2021 The adiabatic groupoid and the Higson-Roe exact sequence. Zbl 07471129Zenobi, Vito Felice 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 Equivariant vector bundles over quantum spheres. Zbl 1475.17025Mudrov, Andrey 1 2021 Algebraic bivariant \(K\)-theory and Leavitt path algebras. Zbl 1468.19008Cortiñas, Guillermo; Montero, Diego 1 2021 Cup product on \(A_\infty\)-cohomology and deformations. Zbl 1492.16029Sharapov, Alexey A.; Skvortsov, Evgeny D. 1 2021 The unbounded Kasparov product by a differentiable module. Zbl 1490.19006Kaad, Jens 1 2021 Invariant Markov semigroups on quantum homogeneous spaces. Zbl 1486.46070Das, Biswarup; Franz, Uwe; Wang, Xumin 1 2021 Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras. Zbl 1494.46045Chung, Yeong Chyuan; Li, Kang 1 2021 Polyvector fields and polydifferential operators associated with Lie pairs. Zbl 1492.53093Bandiera, Ruggero; Stiénon, Mathieu; Xu, Ping 1 2021 Quasifolds, diffeology and noncommutative geometry. Zbl 1487.58002Iglesias-Zemmour, Patrick; Prato, Elisa 1 2021 Ideals of étale groupoid algebras and Exel’s Effros-Hahn conjecture. Zbl 1508.22004Steinberg, Benjamin 1 2021 On localized signature and higher rho invariant of fibered manifolds. Zbl 1484.19009Liu, Hongzhi; Wang, Jinmin 1 2021 Quotients of singular foliations and Lie 2-group actions. Zbl 1486.22002Garmendia, Alfonso; Zambon, Marco 1 2021 The coarse geometric \(\ell^p\)-Novikov conjecture for subspaces of nonpositively curved manifolds. Zbl 1482.19006Shan, Lin; Wang, Qin 1 2021 Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra. Zbl 1494.16008Lopes, Samuel A.; Solotar, Andrea 1 2021 Induced map on \(K\)-theory for certain \(\Gamma \)-equivariant maps between Hilbert spaces. Zbl 1492.46067Kato, Tsuyoshi 1 2021 Quadratic Lie conformal superalgebras related to Novikov superalgebras. Zbl 1487.17046Kolesnikov, Pavel S.; Kozlov, Roman A.; Panasenko, Aleksander S. 1 2021 The spectral localizer for even index pairings. Zbl 1441.19011Loring, Terry A.; Schulz-Baldes, Hermann 9 2020 Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang 8 2020 The homology of the Katsura-Exel-Pardo groupoid. Zbl 1479.46080Ortega, Eduard 6 2020 The relative Mishchenko-Fomenko higher index and almost flat bundles. I: The relative Mishchenko-Fomenko index. Zbl 1469.19010Kubota, Yosuke 6 2020 The intertwiner spaces of non-easy group-theoretical quantum groups. Zbl 07358364Maaßen, Laura 5 2020 The Higson-Roe sequence for étale groupoids. I: Dual algebras and compatibility with the BC map. Zbl 1444.19008Benameur, Moulay-Tahar; Roy, Indrava 5 2020 Symmetries of slice monogenic functions. Zbl 1468.30083Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene 4 2020 Non-commutative crepant resolutions for some toric singularities. II. Zbl 1454.13011Špenko, Špela; Van den Bergh, Michel 4 2020 Quantum groups with projection and extensions of locally compact quantum groups. Zbl 1448.46054Kasprzak, Paweł; Sołtan, Piotr M. 4 2020 Bounds for the rank of the finite part of operator \(K\)-theory. Zbl 1471.46067Samurkaş, Süleyman Kağan 3 2020 Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials. Zbl 1476.14073Basalaev, Alexey; Takahashi, Atsushi 3 2020 Duality of Gabor frames and Heisenberg modules. Zbl 1481.46055Jakobsen, Mads S.; Luef, Franz 3 2020 The gauge group of a noncommutative principal bundle and twist deformations. Zbl 07377298Aschieri, Paolo; Landi, Giovanni; Pagani, Chiara 3 2020 Deformation-obstruction theory for diagrams of algebras and applications to geometry. Zbl 1479.16028Barmeier, Severin; Frégier, Yaël 2 2020 Coarse assembly maps. Zbl 1481.19005Bunke, Ulrich; Engel, Alexander 2 2020 Additivity of higher rho invariant for the topological structure group from a differential point of view. Zbl 1477.19008Jiang, Baojie; Liu, Hongzhi 1 2020 \(A_{\infty}\)-coderivations and the Gerstenhaber bracket on Hochschild cohomology. Zbl 1484.16007Negron, Cris; Volkov, Yury; Sarah, Witherspoon 1 2020 Property (T), property (F) and residual finiteness for discrete quantum groups. Zbl 07358350Bhattacharya, Angshuman; Brannan, Michael; Chirvasitu, Alexandru; Wang, Shuzhou 1 2020 The nodal cubic and quantum groups at roots of unity. Zbl 1466.81045Krähmer, Ulrich; Martins, Manuel 1 2020 A Chern-Weil formula for the Chern character of a perfect curved module. Zbl 1471.13038Brown, Michael K.; Walker, Mark E. 1 2020 Quantum function algebras from finite-dimensional Nichols algebras. Zbl 1494.17007Farinati, Marco Andrés; García, Gastón Andrés 1 2020 On the graded algebras associated with Hecke symmetries. Zbl 1479.16041Skryabin, Serge 1 2020 The factor type of dissipative KMS weights on graph \(C\)*-algebras. Zbl 1478.46066Thomsen, Klaus 1 2020 The index of \(G\)-transversally elliptic families. I. Zbl 1466.19007Baldare, Alexandre 1 2020 The index of \(G\)-transversally elliptic families. II. Zbl 1466.19008Baldare, Alexandre 1 2020 Hecke operators in \(KK\)-theory and the \(K\)-homology of Bianchi groups. Zbl 1473.11112Mesland, Bram; Şengün, Mehmet Haluk 1 2020 Annular representations of free product categories. Zbl 1469.46053Ghosh, Shamindra Kumar; Jones, Corey; Reddy, B. Madhav 1 2020 Noncommutative Borsuk-Ulam-type conjectures revisited. Zbl 1481.46077Dąbrowski, Ludwik; Hajac, Piotr M.; Neshveyev, Sergey 1 2020 McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J. 13 2019 The Ricci curvature in noncommutative geometry. Zbl 1417.58003Floricel, Remus; Ghorbanpour, Asghar; Khalkhali, Masoud 12 2019 Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras. Zbl 1422.16004Bao, Yanhong; He, Jiwei; Zhang, James J. 10 2019 Simple equivariant \(\mathrm{C}^\ast\)-algebras whose full and reduced crossed products coincide. Zbl 1453.46060Suzuki, Yuhei 9 2019 Hochschild (co)homology of Koszul dual pairs. Zbl 1450.16006Herscovich, Estanislao 7 2019 Positive scalar curvature and Poincaré duality for proper actions. Zbl 1443.53031Guo, Hao; Mathai, Varghese; Wang, Hang 6 2019 Rough index theory on spaces of polynomial growth and contractibility. Zbl 1436.58019Engel, Alexander 5 2019 Torsion-freeness for fusion rings and tensor \(\mathrm C^*\)-categories. Zbl 1447.16033Arano, Yuki; De Commer, Kenny 4 2019 Boundaries, spectral triples and \(K\)-homology. Zbl 1429.58037Forsyth, Iain; Goffeng, Magnus; Mesland, Bram; Rennie, Adam 4 2019 Hochschild cohomology of noncommutative planes and quadrics. Zbl 1429.14002Belmans, Pieter 4 2019 Braided Hochschild cohomology and Hopf actions. Zbl 1447.16010Negron, Cris 3 2019 On quantum groups associated to a pair of preregular forms. Zbl 1444.16030Chirvasitu, Alexandru; Walton, Chelsea; Wang, Xingting 3 2019 Singular Hochschild cohomology and algebraic string operations. Zbl 1448.16010Rivera, Manuel; Wang, Zhengfang 3 2019 Commutator estimates on contact manifolds and applications. Zbl 1436.58007Gimperlein, Heiko; Goffeng, Magnus 3 2019 On the anti-Yetter-Drinfeld module-contramodule correspondence. Zbl 1427.19003Shapiro, Ilya 3 2019 An analytic \(LT\)-equivariant index and noncommutative geometry. Zbl 1429.58019Takata, Doman 3 2019 Model theory and Rokhlin dimension for compact quantum group actions. Zbl 07117788Gardella, Eusebio; Kalantar, Mehrdad; Lupini, Martino 3 2019 Measures on differentiable stacks. Zbl 1439.58010Crainic, Marius; Mestre, João Nuno 2 2019 Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039Inoue, Hideki; Richard, Serge 2 2019 Homotopy morphisms between convolution homotopy Lie algebras. Zbl 1440.18040Robert-Nicoud, Daniel; Wierstra, Felix 2 2019 Polynomial monads and delooping of mapping spaces. Zbl 1455.18013Batanin, Michael A.; De Leger, Florian 2 2019 Smash products of Calabi-Yau algebras by Hopf algebras. Zbl 1454.16035Le Meur, Patrick 2 2019 Generalised noncommutative geometry on finite groups and Hopf quivers. Zbl 1442.58005Majid, Shahn; Tao, Wen-Qing 2 2019 Quantization of spectral curves and DQ-modules. Zbl 1415.53071Petit, François 1 2019 Invariants of the \(\mathbb{Z}_2\) orbifolds of the Podleś two spheres. Zbl 1417.58006Quddus, Safdar 1 2019 Regularity of twisted spectral triples and pseudodifferential calculi. Zbl 1444.58010Matassa, Marco; Yuncken, Robert 1 2019 Noncommutative coarse geometry. Zbl 1441.46050Banerjee, Tathagata; Meyer, Ralf 1 2019 Voevodsky’s conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative \(K3\) surfaces. Zbl 1439.14015Ornaghi, Mattia; Pertusi, Laura 1 2019 An abstract characterization of noncommutative projective lines. Zbl 1436.14002Nyman, Adam 1 2019 A free product pair rigidity result in von Neumann algebras. Zbl 1435.46042Ueda, Yoshimichi 1 2019 A non-commutative Bertini theorem. Zbl 1442.14010Rennemo, Jørgen Vold; Segal, Ed; Van den Bergh, Michel 1 2019 Hereditary triangulated categories. Zbl 1430.18010Chen, Xiao-Wu; Ringel, Claus Michael 13 2018 Riemannian submersions and factorization of Dirac operators. Zbl 1405.19002Kaad, Jens; van Suijlekom, Walter D. 11 2018 Strongly self-absorbing \(C^*\)-dynamical systems. II. Zbl 1398.46058Szabó, Gábor 10 2018 On quaternionic tori and their moduli space. Zbl 1405.30051Bisi, Cinzia; Gentili, Graziano 9 2018 Modular curvature for toric noncommutative manifolds. Zbl 1403.46056Liu, Yang 9 2018 Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants. Zbl 1417.58005Ponge, Raphaël; Wang, Hang 9 2018 ...and 320 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,753 Authors 22 Marcolli, Matilde 20 Rennie, Adam 18 Chirvăsitu, Alexandru 18 Skalski, Adam G. 18 Van den Bergh, Michel 17 van Suijlekom, Walter Daniël 16 Brzeziński, Tomasz 16 Dabrowski, Ludwik 16 Sitarz, Andrzej 15 Tabuada, Gonçalo 14 D’Andrea, Francesco 14 Goswami, Debashish 14 Landi, Giovanni 14 Martinetti, Pierre 14 Szabó, Gábor 14 Wallet, Jean-Christophe 13 Bai, Chengming 13 Kaufmann, Ralph M. 13 Ponge, Raphaël S. 13 Sukochev, Fedor Anatol’evich 13 Weber, Moritz 12 Banica, Teodor 12 Kaad, Jens 12 Neshveyev, Sergey V. 12 Sheng, Yunhe 11 Goffeng, Magnus 11 Hochs, Peter 11 Khalkhali, Masoud 11 Mathai, Varghese 11 Mesland, Bram 11 Piazza, Paolo 11 Sims, Aidan 11 Sołtan, Piotr Mikołaj 11 Ueyama, Kenta 11 Zhang, Yinhuo 10 Benameur, Moulay-Tahar 10 Bhowmick, Jyotishman 10 Dadarlat, Marius 10 Ebrahimi-Fard, Kurusch 10 Freslon, Amaury 10 Iochum, Bruno 10 Li, Xin 10 Meyer, Ralf 10 Savin, Anton Yur’evich 10 Wang, Hang 10 Zhang, James J. 9 Connes, Alain 9 Fathizadeh, Farzad 9 Gardella, Eusebio 9 Hajac, Piotr M. 9 He, Jiwei 9 Kasprzak, Paweł 9 Liu, Jiefeng 9 Majid, Shahn 9 Resende, Pedro 9 Sati, Hisham 9 Teplyaev, Alexander 9 Torrecillas Jover, Blas 8 Arici, Francesca 8 Carey, Alan L. 8 Chen, Xiaojun 8 Dolgushev, Vasily A. 8 Guo, Li 8 Manchon, Dominique 8 Pennig, Ulrich 8 Solleveld, Maarten 8 Tanasă, Adrian 8 Usachev, Aleksandr Sergeevich 8 van den Dungen, Koenraad Lambertus 8 Vitale, Patrizia 8 Walton, Chelsea 8 Winter, Wilhelm 8 Witherspoon, Sarah J. 7 Deeley, Robin J. 7 Dong, Jingcheng 7 Gayral, Victor 7 Gromada, Daniel 7 Guin, Satyajit 7 Kubota, Yosuke 7 Laca, Marcelo 7 Larsen, Nadia S. 7 Luef, Franz 7 Mahanta, Snigdhayan 7 Patras, Frédéric 7 Schedler, Travis 7 van Oystaeyen, Freddy 7 Wang, Yong 7 Willett, Rufus 7 Willwacher, Thomas Hans 6 Angella, Daniele 6 Bisi, Cinzia 6 Bourne, Chris 6 Brannan, Michael 6 Bulacu, Daniel 6 Caspers, Martijn 6 De Commer, Kenny 6 Eshmatov, Farkhod 6 Guo, Hao 6 Herscovich, Estanislao 6 Hinz, Michael ...and 1,653 more Authors all top 5 Cited in 248 Journals 134 Journal of Noncommutative Geometry 129 Advances in Mathematics 100 Journal of Algebra 99 Journal of Geometry and Physics 86 Communications in Mathematical Physics 78 Journal of Functional Analysis 53 Letters in Mathematical Physics 47 Journal of Pure and Applied Algebra 45 Journal of Mathematical Physics 40 Transactions of the American Mathematical Society 36 Communications in Algebra 34 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 33 Mathematische Zeitschrift 33 Proceedings of the American Mathematical Society 29 International Journal of Mathematics 29 Algebras and Representation Theory 27 Journal of High Energy Physics 25 Journal of Mathematical Analysis and Applications 24 Journal of Topology and Analysis 22 Selecta Mathematica. New Series 20 Mathematische Annalen 19 Annals of \(K\)-Theory 18 Annales Henri Poincaré 17 Journal of Algebra and its Applications 16 Ergodic Theory and Dynamical Systems 16 Algebraic & Geometric Topology 15 Journal für die Reine und Angewandte Mathematik 14 Israel Journal of Mathematics 14 Memoirs of the American Mathematical Society 14 Pacific Journal of Mathematics 14 Documenta Mathematica 14 Mathematical Physics, Analysis and Geometry 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Annales de l’Institut Fourier 13 Journal of Homotopy and Related Structures 11 Reviews in Mathematical Physics 10 Inventiones Mathematicae 10 Applied Categorical Structures 9 Geometry & Topology 9 International Journal of Geometric Methods in Modern Physics 8 Glasgow Mathematical Journal 8 Integral Equations and Operator Theory 8 Russian Journal of Mathematical Physics 8 Journal of the European Mathematical Society (JEMS) 8 Kyoto Journal of Mathematics 7 Topology and its Applications 7 Advances in Applied Mathematics 7 Forum Mathematicum 7 Theory and Applications of Categories 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Compositio Mathematica 6 Illinois Journal of Mathematics 6 Indiana University Mathematics Journal 6 Manuscripta Mathematica 6 Annals of Global Analysis and Geometry 6 The Journal of Geometric Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Bulletin des Sciences Mathématiques 6 Forum of Mathematics, Sigma 5 Fortschritte der Physik 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 Frontiers of Mathematics in China 5 Algebra & Number Theory 5 Analysis & PDE 5 Science China. Mathematics 5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 4 Bulletin of the Australian Mathematical Society 4 Nuclear Physics. B 4 Reports on Mathematical Physics 4 Rocky Mountain Journal of Mathematics 4 Bulletin of the London Mathematical Society 4 Canadian Mathematical Bulletin 4 Duke Mathematical Journal 4 Journal of Combinatorial Theory. Series A 4 Journal of Number Theory 4 International Journal of Algebra and Computation 4 Differential Geometry and its Applications 4 Geometric and Functional Analysis. GAFA 4 Expositiones Mathematicae 4 Journal of Algebraic Combinatorics 4 The New York Journal of Mathematics 4 Journal of Lie Theory 4 Journal of Topology 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 3 Canadian Journal of Mathematics 3 Journal of the Korean Mathematical Society 3 Journal of the London Mathematical Society. Second Series 3 Journal of the Mathematical Society of Japan 3 Mathematica Scandinavica 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the London Mathematical Society. Third Series ...and 148 more Journals all top 5 Cited in 55 Fields 721 Functional analysis (46-XX) 518 Associative rings and algebras (16-XX) 434 Global analysis, analysis on manifolds (58-XX) 312 Category theory; homological algebra (18-XX) 298 Quantum theory (81-XX) 266 \(K\)-theory (19-XX) 218 Algebraic geometry (14-XX) 208 Differential geometry (53-XX) 200 Nonassociative rings and algebras (17-XX) 181 Group theory and generalizations (20-XX) 136 Topological groups, Lie groups (22-XX) 129 Operator theory (47-XX) 128 Algebraic topology (55-XX) 81 Manifolds and cell complexes (57-XX) 76 Combinatorics (05-XX) 61 Number theory (11-XX) 59 Commutative algebra (13-XX) 59 Dynamical systems and ergodic theory (37-XX) 57 Partial differential equations (35-XX) 54 Several complex variables and analytic spaces (32-XX) 54 Relativity and gravitational theory (83-XX) 32 Statistical mechanics, structure of matter (82-XX) 30 Measure and integration (28-XX) 26 Abstract harmonic analysis (43-XX) 26 General topology (54-XX) 24 Probability theory and stochastic processes (60-XX) 21 Functions of a complex variable (30-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 15 Geometry (51-XX) 14 Mathematical logic and foundations (03-XX) 14 Potential theory (31-XX) 13 Ordinary differential equations (34-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Mechanics of particles and systems (70-XX) 10 Special functions (33-XX) 8 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 6 Difference and functional equations (39-XX) 5 Integral equations (45-XX) 4 Field theory and polynomials (12-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 2 General and overarching topics; collections (00-XX) 2 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