# zbMATH — the first resource for mathematics

## Journal of Noncommutative Geometry

 Short Title: J. Noncommut. Geom. Publisher: European Mathematical Society (EMS) Publishing House, Zurich ISSN: 1661-6952; 1661-6960/e Online: https://www.ems-ph.org/journals/all_issues.php?issn=1661-6952https://ems.press/journals/jncg/read Comments: Indexed cover-to-cover
 Documents Indexed: 432 Publications (since 2007) References Indexed: 355 Publications with 7,823 References.
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#### Latest Issues

 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)
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#### Authors

 8 Tabuada, Gonçalo 6 Van den Bergh, Michel 5 Dadarlat, Marius 5 Hajac, Piotr M. 5 Kaad, Jens 5 Meyer, Ralf 5 van Suijlekom, Walter Daniël 5 Wang, Hang 4 Benameur, Moulay-Tahar 4 Brzeziński, Tomasz 4 Iochum, Bruno 4 Kaufmann, Ralph M. 4 Kaygun, Atabey 4 Khalkhali, Masoud 4 Landi, Giovanni 4 Mathai, Varghese 4 Neshveyev, Sergey V. 4 Nest, Ryszard 4 Plymen, Roger J. 4 Rennie, Adam 4 Schick, Thomas 4 Tang, Xiang 4 Timmermann, Thomas 4 Zieliński, Bartosz 3 Banerjee, Abhishek 3 Batanin, Michael A. 3 Cuntz, Joachim 3 Dabrowski, Ludwik 3 D’Andrea, Francesco 3 Fathizadeh, Farzad 3 Gayral, Victor 3 Kasprzak, Paweł 3 Li, Xin 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, Sutanu 3 Sitarz, Andrzej 3 Solotar, Andrea Leonor 3 Sołtan, Piotr Mikołaj 3 Sütlü, Serkan 3 Tanasă, Adrian 3 Winter, Wilhelm 3 Wright, Nick J. 2 Aastrup, Johannes 2 Abbaspour, Hossein 2 Arano, Yuki 2 Arici, Francesca 2 Baldare, Alexandre 2 Banica, Teodor 2 Barlak, Selçuk 2 Beggs, Edwin J. 2 Bhowmick, Jyotishman 2 Brain, Simon 2 Brodzki, Jacek 2 Bunke, Ulrich 2 Chakraborty, Partha Sarathi 2 Chemla, Sophie 2 Chirvăsitu, Alexandru 2 Cibils, Claude 2 Connes, Alain 2 Crisp, Tyrone 2 Cuadra, Juan 2 De Commer, Kenny 2 Deeley, Robin J. 2 Deprez, Steven 2 Dolgushev, Vasily A. 2 Ebrahimi-Fard, Kurusch 2 Echterhoff, Siegfried 2 Esfahani Zadeh, Mostafa 2 Fima, Pierre 2 Gabriel, Olivier 2 Gardella, Eusebio 2 Gavarini, Fabio 2 Goffeng, Magnus 2 Herscovich, Estanislao 2 Iyama, Osamu 2 Ji, Ronghui 2 Jordan, David Andrew 2 Kowalzig, Niels 2 Krähmer, Ulrich 2 Krajewski, Thomas 2 Kubota, Yosuke 2 Kyed, David 2 Laca, Marcelo 2 Lafforgue, Vincent 2 Lesch, Matthias 2 Levy, Cyril 2 Liu, Hongzhi 2 Lunts, Valery A. 2 Mahanta, Snigdhayan 2 Majid, Shahn 2 Negron, Cris ...and 478 more Authors
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#### Fields

 202 Functional analysis (46-XX) 136 Associative rings and algebras (16-XX) 127 Global analysis, analysis on manifolds (58-XX) 88 $$K$$-theory (19-XX) 75 Category theory; homological algebra (18-XX) 57 Algebraic geometry (14-XX) 56 Quantum theory (81-XX) 46 Differential geometry (53-XX) 43 Nonassociative rings and algebras (17-XX) 38 Group theory and generalizations (20-XX) 36 Algebraic topology (55-XX) 34 Topological groups, Lie groups (22-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Operator theory (47-XX) 16 Commutative algebra (13-XX) 13 Combinatorics (05-XX) 13 Number theory (11-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Manifolds and cell complexes (57-XX) 7 Abstract harmonic analysis (43-XX) 5 General topology (54-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Mechanics of particles and systems (70-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 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

337 Publications have been cited 1,986 times in 1,499 Documents Cited by Year
On the spectral characterization of manifolds. Zbl 1287.58004
Connes, Alain
2013
Strongly self-absorbing $$C^{\ast}$$-algebras are $$\mathcal{Z}$$-stable. Zbl 1227.46041
Winter, Wilhelm
2011
Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets. Zbl 1181.46056
Pearson, John; Bellissard, Jean
2009
Scalar curvature for the noncommutative two torus. Zbl 1295.46053
2013
The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure. Zbl 1256.58002
2012
Fusion rules for quantum reflection groups. Zbl 1203.46048
Banica, Teodor; Vergnioux, Roland
2009
Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras. Zbl 1161.16022
Berger, Roland; Taillefer, Rachel
2007
The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. Zbl 1144.18007
Dolgushev, Vasiliy A.; Tamarkin, Dmitry; Tsygan, Boris
2007
Homotopy Batalin-Vilkovisky algebras. Zbl 1258.18005
Gálvez-Carrillo, Imma; Tonks, Andrew; Vallette, Bruno
2012
Scalar curvature for noncommutative four-tori. Zbl 1332.46071
2015
Dirac operators on all Podleś quantum spheres. Zbl 1121.58008
Dąbrowski, Ludwik; D’Andrea, Francesco; Landi, Giovanni; Wagner, Elmar
2007
Gauge theory for spectral triples and the unbounded Kasparov product. Zbl 1341.58007
Brain, Simon; Mesland, Bram; van Suijlekom, Walter D.
2016
Bordism, rho-invariants and the Baum-Connes conjecture. Zbl 1158.58012
Piazza, Paolo; Schick, Thomas
2007
A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412
Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric
2009
Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus. Zbl 1226.81279
Cagnache, Eric; Masson, Thierry; Wallet, Jean-Christophe
2011
C*-algebras associated with integral domains and crossed products by actions on adele spaces. Zbl 1229.46044
Cuntz, Joachim; Li, Xin
2011
Topological graph polynomials and quantum field theory. I: Theory kernel theories. Zbl 1186.81095
Krajewski, Thomas; Rivasseau, Vincent; Tanasă, Adrian; Wang, Zhituo
2010
Property (T) and exotic quantum group norms. Zbl 1277.46041
Kyed, David; Sołtan, Piotr M.
2012
Metric and spectral triples for Dirichlet and resistance forms. Zbl 1327.81236
Hinz, Michael; Kelleher, Daniel J.; Teplyaev, Alexander
2015
Non-commutative resolutions and Grothendieck groups. Zbl 1327.13053
Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Vial, Charles
2015
Geometric cycles, index theory and twisted $$K$$-homology. Zbl 1169.19003
Wang, Bai-Ling
2008
Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators. Zbl 1169.55005
Kaufmann, Ralph M.
2008
Twisted Calabi-Yau property of Ore extensions. Zbl 1317.16025
Liu, Liyu; Wang, Shengqiang; Wu, Quanshui
2014
On the structure of (co-Frobenius) Hopf algebras. Zbl 1279.16024
2013
The cyclic theory of Hopf algebroids. Zbl 1262.16030
Kowalzig, Niels; Posthuma, Hessel
2011
Noncommutative $$\varepsilon$$-graded connections. Zbl 1275.58003
de Goursac, Axel; Masson, Thierry; Wallet, Jean-Christophe
2012
Chow motives versus noncommutative motives. Zbl 1296.14019
2013
Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. Zbl 1145.55008
Kaufmann, Ralph M.
2007
Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem. Zbl 1343.58004
Ponge, Raphaël; Wang, Hang
2016
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
2012
Pseudodifferential calculus on a singular foliation. Zbl 1216.53029
Androulidakis, Iakovos; Skandalis, Georges
2011
Spectral geometry of the Moyal plane with harmonic propagation. Zbl 1295.46054
Gayral, Victor; Wulkenhaar, Raimar
2013
Quantum $$\mathrm{SO}(3)$$ groups and quantum group actions on $$M_{2}$$. Zbl 1194.46108
Sołtan, Piotr M.
2010
Smith, S. Paul; Van den Bergh, Michel
2013
The closed state space of affine Landau-Ginzburg B-models. Zbl 1286.14003
Segal, Ed
2013
Crossed products by compact group actions with the Rokhlin property. Zbl 1390.46060
Gardella, Eusebio
2017
Easy quantum groups and quantum subgroups of a semi-direct product quantum group. Zbl 1350.46047
Raum, Sven; Weber, Moritz
2015
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
2012
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
2013
Piecewise principal comodule algebras. Zbl 1258.16036
Hajac, Piotr M.; Krähmer, Ulrich; Matthes, Rainer; Zieliński, Bartosz
2011
Uniform local amenability. Zbl 1281.46023
Brodzki, Jacek; Niblo, Graham A.; Špakula, Ján; Willett, Rufus; Wright, Nick
2013
Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004
Beggs, Edwin; Majid, Shahn
2017
Spectral action on noncommutative torus. Zbl 1156.46046
Essouabri, Driss; Iochum, Bruno; Levy, Cyril; Sitarz, Andrzej
2008
On spectral triples in quantum gravity. II. Zbl 1158.46312
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
2009
The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras. Zbl 1348.46066
Barlak, Selçuk; Enders, Dominic; Matui, Hiroki; Szabó, Gábor; Winter, Wilhelm
2015
Twisting on associative algebras and Rota-Baxter type operators. Zbl 1248.16027
Uchino, Kyousuke
2010
Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture. Zbl 1192.46066
Ji, Ronghui; Ogle, Crichton; Ramsey, Bobby
2010
Complete positivity of Rieffel’s deformation quantization by actions of $$\mathbb R^d$$. Zbl 1172.53055
Kaschek, Daniel; Neumaier, Nikolai; Waldmann, Stefan
2009
On the classification of certain fusion categories. Zbl 1208.18004
Jordan, David; Larson, Eric
2009
The Novikov conjecture on Cheeger spaces. Zbl 1375.57034
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2017
Inequalities à la Frölicher and cohomological decompositions. Zbl 1325.32018
2015
Periodic cyclic homology of reductive $$p$$-adic groups. Zbl 1181.22018
Solleveld, Maarten
2009
Dirac operators and geodesic metric on the harmonic Sierpiński gasket and other fractal sets. Zbl 1320.28015
Lapidus, Michel L.; Sarhad, Jonathan J.
2014
Double constructions of Frobenius algebras, Connes cocycles and their duality. Zbl 1250.17028
Bai, Chengming
2010
Phase transition in the Connes-Marcolli $$\mathrm{GL}_2$$-system. Zbl 1143.46039
Laca, Marcelo; Larsen, Nadia S.; Neshveyev, Sergey
2007
The Ricci curvature in noncommutative geometry. Zbl 1417.58003
Floricel, Remus; Ghorbanpour, Asghar; Khalkhali, Masoud
2019
Elliptic and transversally elliptic index theory from the viewpoint of $$KK$$-theory. Zbl 1358.19001
2016
Pimsner algebras and Gysin sequences from principal circle actions. Zbl 1342.19006
Arici, Francesca; Kaad, Jens; Landi, Giovanni
2016
Quantales of open groupoids. Zbl 1253.06019
Protin, M. Clarence; Resende, Pedro
2012
Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula. Zbl 1373.46067
Lesch, Matthias
2017
Graph products of operator algebras. Zbl 1373.46055
Caspers, Martijn; Fima, Pierre
2017
On compact bicrossed products. Zbl 1410.46054
Fima, Pierre; Mukherjee, Kunal; Patri, Issan
2017
Almost normal operators mod Hilbert-Schmidt and the $$K$$-theory of the algebras $$E \Lambda (\Omega)$$. Zbl 1325.46074
Voiculescu, Dan-Virgil
2014
The Chern character of semifinite spectral triples. Zbl 1157.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
2008
Modular envelopes, OSFT and nonsymmetric (non-$$\Sigma$$) modular operads. Zbl 1375.81205
Markl, Martin
2016
McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044
Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J.
2019
Modular curvature for toric noncommutative manifolds. Zbl 1403.46056
Liu, Yang
2018
Regularity and dimension spectrum of the equivariant spectral triple for the odd-dimensional quantum spheres. Zbl 1200.58005
Pal, Arupkumar; Sundar, S.
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 1267.16009
Lambre, Thierry
2010
Tate-Hochschild homology and cohomology of Frobenius algebras. Zbl 1305.16007
Bergh, Petter Andreas; Jorgensen, David A.
2013
Classification of traces and hypertraces on spaces of classical pseudodifferential operators. Zbl 1272.58015
Lesch, Matthias; Jiménez, Carolina Neira
2013
Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
2014
On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010
Natale, Sonia
2014
Presheaves of symmetric tensor categories and nets of $$C^\ast$$-algebras. Zbl 1349.46059
Vasselli, Ezio
2015
A noncommutative sigma-model. Zbl 1260.58004
Mathai, Varghese; Rosenberg, Jonathan
2011
The homotopy groups of the automorphism group of Kirchberg algebras. Zbl 1144.46047
2007
Invariant subsets under compact quantum group actions. Zbl 1359.46061
Huang, Huichi
2016
On Frobenius and separable algebra extensions in monoidal categories: applications to wreaths. Zbl 1347.16035
Bulacu, Daniel; Torrecillas, Blas
2015
$$\mathbf{A}^1$$-homotopy theory of noncommutative motives. Zbl 1345.14008
2015
Hereditary triangulated categories. Zbl 1430.18010
Chen, Xiao-Wu; Ringel, Claus Michael
2018
Matrix factorizations and semi-orthogonal decompositions for blowing-ups. Zbl 1360.14063
Lunts, Valery A.; Schnürer, Olaf M.
2016
Boutet de Monvel’s calculus and groupoids. I. Zbl 1216.58008
Aastrup, Johannes; Melo, Severino T.; Monthubert, Bertrand; Schrohe, Elmar
2010
Star product realizations of $$\kappa$$-Minkowski space. Zbl 1282.46063
Durhuus, Bergfinnur; Sitarz, Andrzej
2013
Electrodynamics from noncommutative geometry. Zbl 1272.58006
van den Dungen, Koen; van Suijlekom, Walter D.
2013
Riemannian curvature of the noncommutative 3-sphere. Zbl 1378.46053
Arnlind, Joakim; Wilson, Mitsuru
2017
The Ext algebra of a Brauer graph algebra. Zbl 1380.16022
Green, Edward L.; Schroll, Sibylle; Snashall, Nicole; Taillefer, Rachel
2017
Isomorphism invariants for multivariable $$C^\ast$$-dynamics. Zbl 1328.47078
Kakariadis, Evgenios T. A.; Katsoulis, Elias G.
2014
On the arithmetic of the BC-system. Zbl 1302.11069
Connes, Alain; Consani, Caterina
2014
$$L^2$$-index formula for proper cocompact group actions. Zbl 1338.19008
Wang, Hang
2014
Quantum gauge symmetries in noncommutative geometry. Zbl 1300.81057
Bhowmick, Jyotishman; D’Andrea, Francesco; Das, Biswarup; Dąbrowski, Ludwik
2014
Noncommutative geometry and compactifications of the moduli space of curves. Zbl 1193.14016
Hamilton, Alastair
2010
Strongly self-absorbing $$C^*$$-dynamical systems. II. Zbl 1398.46058
Szabó, Gábor
2018
Hopf algebra of non-commutative field theory. Zbl 1181.81101
2008
The Gysin sequence for quantum Lens spaces. Zbl 1404.46063
Arici, Francesca; Brain, Simon; Landi, Giovanni
2015
A Dixmier-Douady theory for strongly self-absorbing $$C^\ast$$-algebras. II: The Brauer group. Zbl 1346.46062
2015
Explicit HRS-tilting. Zbl 1172.18003
Noohi, Behrang
2009
Cyclic homologies of crossed modules of algebras. Zbl 1278.18026
2012
Does full imply faithful? Zbl 1276.14026
Canonaco, Alberto; Orlov, Dmitri; Stellari, Paolo
2013
Bost-Connes systems, Hecke algebras, and induction. Zbl 1303.46061
Laca, Marcelo; Neshveyev, Sergey; Trifković, Mak
2013
Fibrations with noncommutative fibers. Zbl 1179.19003
Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Hervé
2009
Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052
Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang
2020
The spectral localizer for even index pairings. Zbl 1441.19011
Loring, Terry A.; Schulz-Baldes, Hermann
2020
Non-commutative crepant resolutions for some toric singularities. II. Zbl 1454.13011
Špenko, Špela; Van den Bergh, Michel
2020
Quantum groups with projection and extensions of locally compact quantum groups. Zbl 1448.46054
Kasprzak, Paweł; Sołtan, Piotr M.
2020
The Ricci curvature in noncommutative geometry. Zbl 1417.58003
Floricel, Remus; Ghorbanpour, Asghar; Khalkhali, Masoud
2019
McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044
Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J.
2019
Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras. Zbl 1422.16004
Bao, Yanhong; He, Jiwei; Zhang, James J.
2019
Simple equivariant $$\mathrm{C}^\ast$$-algebras whose full and reduced crossed products coincide. Zbl 1453.46060
Suzuki, Yuhei
2019
Rough index theory on spaces of polynomial growth and contractibility. Zbl 1436.58019
Engel, Alexander
2019
Commutator estimates on contact manifolds and applications. Zbl 1436.58007
Gimperlein, Heiko; Goffeng, Magnus
2019
Smash products of Calabi-Yau algebras by Hopf algebras. Zbl 1454.16035
Le Meur, Patrick
2019
Boundaries, spectral triples and $$K$$-homology. Zbl 1429.58037
Forsyth, Iain; Goffeng, Magnus; Mesland, Bram; Rennie, Adam
2019
On the anti-Yetter-Drinfeld module-contramodule correspondence. Zbl 1427.19003
Shapiro, Ilya
2019
Hochschild cohomology of noncommutative planes and quadrics. Zbl 1429.14002
Belmans, Pieter
2019
Measures on differentiable stacks. Zbl 1439.58010
Crainic, Marius; Mestre, João Nuno
2019
Torsion-freeness for fusion rings and tensor $$\mathrm C^*$$-categories. Zbl 1447.16033
Arano, Yuki; De Commer, Kenny
2019
Hochschild (co)homology of Koszul dual pairs. Zbl 1450.16006
Herscovich, Estanislao
2019
Regularity of twisted spectral triples and pseudodifferential calculi. Zbl 1444.58010
Matassa, Marco; Yuncken, Robert
2019
Generalised noncommutative geometry on finite groups and Hopf quivers. Zbl 1442.58005
Majid, Shahn; Tao, Wen-Qing
2019
Voevodsky’s conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative $$K3$$ surfaces. Zbl 1439.14015
Ornaghi, Mattia; Pertusi, Laura
2019
An abstract characterization of noncommutative projective lines. Zbl 1436.14002
2019
An analytic $$LT$$-equivariant index and noncommutative geometry. Zbl 1429.58019
Takata, Doman
2019
A non-commutative Bertini theorem. Zbl 1442.14010
Rennemo, Jørgen Vold; Segal, Ed; Van den Bergh, Michel
2019
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039
Inoue, Hideki; Richard, Serge
2019
Positive scalar curvature and Poincaré duality for proper actions. Zbl 1443.53031
Guo, Hao; Mathai, Varghese; Wang, Hang
2019
Braided Hochschild cohomology and Hopf actions. Zbl 1447.16010
Negron, Cris
2019
On quantum groups associated to a pair of preregular forms. Zbl 1444.16030
Chirvasitu, Alexandru; Walton, Chelsea; Wang, Xingting
2019
Quantization of spectral curves and DQ-modules. Zbl 1415.53071
Petit, François
2019
Singular Hochschild cohomology and algebraic string operations. Zbl 1448.16010
Rivera, Manuel; Wang, Zhengfang
2019
Modular curvature for toric noncommutative manifolds. Zbl 1403.46056
Liu, Yang
2018
Hereditary triangulated categories. Zbl 1430.18010
Chen, Xiao-Wu; Ringel, Claus Michael
2018
Strongly self-absorbing $$C^*$$-dynamical systems. II. Zbl 1398.46058
Szabó, Gábor
2018
Large scale index of multi-partitioned manifolds. Zbl 1402.19005
2018
An extension of compact operators by compact operators with no nontrivial multipliers. Zbl 1434.46031
Ghasemi, Saeed; Koszmider, Piotr
2018
Noncommutative geometry and conformal geometry: I. Local index formula and conformal invariants. Zbl 1417.58005
Ponge, Raphaël; Wang, Hang
2018
On steady non-commutative crepant resolutions. Zbl 1419.16012
Iyama, Osamu; Nakajima, Yusuke
2018
Riemannian submersions and factorization of Dirac operators. Zbl 1405.19002
Kaad, Jens; van Suijlekom, Walter D.
2018
An equivariant index for proper actions. II: Properties and applications. Zbl 1393.58018
Hochs, Peter; Song, Yanli
2018
On quaternionic tori and their moduli space. Zbl 1405.30051
Bisi, Cinzia; Gentili, Graziano
2018
Calabi-Yau deformations and negative cyclic homology. Zbl 1422.14044
De Völcsey, Louis De Thanhoffer; van den Bergh, Michel
2018
The $$K$$-theory of twisted multipullback quantum odd spheres and complex projective spaces. Zbl 1414.46050
Hajac, Piotr M.; Nest, Ryszard; Pask, David; Sims, Aidan; Zieliński, Bartosz
2018
On reduced twisted group $$C^{\ast}$$-algebras that are simple and/or have a unique trace. Zbl 1412.46069
Bédos, Erik; Omland, Tron
2018
When Ext is a Batalin-Vilkovisky algebra. Zbl 1408.18018
Kowalzig, Niels
2018
A categorical perspective on the Atiyah-Segal completion theorem in $$KK$$-theory. Zbl 1401.19009
Arano, Yuki; Kubota, Yosuke
2018
Pullbacks and nontriviality of associated noncommutative vector bundles. Zbl 1416.46067
Hajac, Piotr M.; Maszczyk, Tomasz
2018
Locally bounded perturbations and (odd) unbounded $$KK$$-theory. Zbl 1419.19003
Van den Dungen, Koen
2018
Bar simplicial modules and secondary cyclic (co)homology. Zbl 1403.16006
Laubacher, Jacob; Staic, Mihai D.; Stancu, Alin
2018
The prime spectrum of the algebra $$\mathbb{K}_q[X,Y] \rtimes U_q(\mathfrak{sl}_2)$$ and a classification of simple weight modules. Zbl 1408.17003
2018
Separability idempotents in $$C^{\ast}$$-algebras. Zbl 1412.46083
Kahng, Byung-Jay; Van Daele, Alfons
2018
The Harish-Chandra isomorphism for quantum $$\mathrm{GL}_2$$. Zbl 1428.17012
Balagovic, Martina; Jordan, David
2018
Homotopic Hopf-Galois extensions revisited. Zbl 1418.16017
Berglund, Alexander; Hess, Kathryn
2018
Automorphisms of Cuntz-Krieger algebras. Zbl 1398.46048
Eilers, Søren; Restorff, Gunnar; Ruiz, Efren
2018
The maximal quantum group-twisted tensor product of C*-algebras. Zbl 1397.81105
Roy, Sutanu; Timmermann, Thomas
2018
Toeplitz operators and the Roe-Higson type index theorem. Zbl 1402.19006
Seto, Tatsuki
2018
An inverse semigroup approach to the $$C^*$$-algebras and crossed products of cancellative semigroups. Zbl 1407.46045
2018
A regulator for smooth manifolds and an index theorem. Zbl 1426.19001
Bunke, Ulrich
2018
Crossed products by compact group actions with the Rokhlin property. Zbl 1390.46060
Gardella, Eusebio
2017
Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004
Beggs, Edwin; Majid, Shahn
2017
The Novikov conjecture on Cheeger spaces. Zbl 1375.57034
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
2017
Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula. Zbl 1373.46067
Lesch, Matthias
2017
Graph products of operator algebras. Zbl 1373.46055
Caspers, Martijn; Fima, Pierre
2017
On compact bicrossed products. Zbl 1410.46054
Fima, Pierre; Mukherjee, Kunal; Patri, Issan
2017
Riemannian curvature of the noncommutative 3-sphere. Zbl 1378.46053
Arnlind, Joakim; Wilson, Mitsuru
2017
The Ext algebra of a Brauer graph algebra. Zbl 1380.16022
Green, Edward L.; Schroll, Sibylle; Snashall, Nicole; Taillefer, Rachel
2017
The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras. Zbl 1453.16010
Chen, Xiaojun; Eshmatov, Alimjon; Eshmatov, Farkhod; Yang, Song
2017
Factorization homology and calculus à la Kontsevich Soibelman. Zbl 1421.55008
Horel, Geoffroy
2017
Finiteness and paradoxical decompositions in $$C^\ast$$-dynamical systems. Zbl 1381.46060
Rainone, Timothy
2017
$$\mathcal{A}_\infty$$-functors and homotopy theory of dg-categories. Zbl 1390.18034
Faonte, Giovanni
2017
Smooth geometry of the noncommutative pillow, cones and lens spaces. Zbl 1383.58003
Brzeziński, Tomasz; Sitarz, Andrzej
2017
Differentiable absorption of Hilbert $$C^\ast$$-modules, connections, and lifts of unbounded operators. Zbl 1386.46045
2017
Koszul pairs and applications. Zbl 1381.16028
Jara, Pascual; López Peña, Javier; Ştefan, Dragoş
2017
Functoriality of equivariant eta forms. Zbl 1369.58015
Liu, Bo
2017
About the convolution of distributions on groupoids. Zbl 1385.46026
Lescure, Jean-Marie; Manchon, Dominique; Vassout, Stéphane
2017
Crossed products for actions of crossed modules on $$C^\ast$$-algebras. Zbl 1385.46050
Buss, Alcides; Meyer, Ralf
2017
Gerstenhaber brackets on Hochschild cohomology of twisted tensor products. Zbl 1382.16005
Grimley, Lauren; Nguyen, Van C.; Witherspoon, Sarah
2017
Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers. Zbl 1429.14003
2017
Le Grignou, Brice
2017
The Gauss-Manin connection for the cyclic homology of smooth deformations, and noncommutative tori. Zbl 1382.46057
Yashinski, Allan
2017
Boundary value problems with Atiyah-Patodi-Singer type conditions and spectral triples. Zbl 1379.58009
Battisti, Ubertino; Seiler, Joerg
2017
Étale twists in noncommutative algebraic geometry and the twisted Brauer space. Zbl 1364.14015
Antieau, Benjamin
2017
Free actions of compact groups on $$C^\ast$$-algebras. II. Zbl 1382.46054
Schwieger, Kay; Wagner, Stefan
2017
Deformation quantization of integrable systems. Zbl 1371.53095
Sharygin, Georgy; Talalaev, Dmitry
2017
A note on the Lichnerowicz vanishing theorem for proper actions. Zbl 1380.58017
Zhang, Weiping
2017
Cohomology of $$\mathcal{A}_\theta^{\mathrm{alg}}\rtimes\mathbb{Z}_2$$ and its Chern-Connes pairing. Zbl 1381.58002
Quddus, Safdar
2017
Orders of Nikshych’s Hopf algebra. Zbl 1383.16031
2017
(Almost) $${C}^\ast$$-algebras as sheaves with self-action. Zbl 1386.46043
Flori, Cecilia; Fritz, Tobias
2017
Monodromy of the Gauss-Manin connection for deformation by group cocycles. Zbl 1393.19004
Yamashita, Makoto
2017
Representability of cohomological functors over extension fields. Zbl 1403.18013
Rizzardo, Alice
2017
Smooth crossed product of minimal unique ergodic diffeomorphism of odd sphere. Zbl 1409.37012
Liu, Hongzhi
2017
Spectral triples for nested fractals. Zbl 1383.58004
Guido, Daniele; Isola, Tommaso
2017
Decorated Feynman categories. Zbl 1410.18010
Kaufmann, Ralph M.; Lucas, Jason
2017
Ring-theoretic blowing down. I. Zbl 1453.14007
Rogalski, Daniel; Sierra, Susan J.; Stafford, J. Toby
2017
Some quasitensor autoequivalences of Drinfeld doubles of finite groups. Zbl 1367.18001
Schauenburg, Peter
2017
Hopf algebras and universal Chern classes. Zbl 1382.16030
Moscovici, Henri; Rangipour, Bahram
2017
The representation theory of non-commutative $$\mathcal{O}(\mathrm{GL}_2)$$. Zbl 1383.16025
Raedschelders, Theo; Van den Bergh, Michel
2017
Motivic Donaldson-Thomas invariants of some quantized threefolds. Zbl 1386.14013
Cazzaniga, Alberto; Morrison, Andrew; Pym, Brent; Szendrői, Balázs
2017
$$\mathbb{A}^1$$-homotopy invariants of corner skew Laurent polynomial algebras. Zbl 1387.14017
2017
Gauge theory for spectral triples and the unbounded Kasparov product. Zbl 1341.58007
Brain, Simon; Mesland, Bram; van Suijlekom, Walter D.
2016
Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem. Zbl 1343.58004
Ponge, Raphaël; Wang, Hang
2016
Elliptic and transversally elliptic index theory from the viewpoint of $$KK$$-theory. Zbl 1358.19001
2016
...and 237 more Documents
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#### Cited by 1,413 Authors

 21 Marcolli, Matilde 18 Rennie, Adam 17 Van den Bergh, Michel 15 Sitarz, Andrzej 14 Brzeziński, Tomasz 14 Chirvăsitu, Alexandru 14 van Suijlekom, Walter Daniël 13 D’Andrea, Francesco 13 Martinetti, Pierre 13 Szabó, Gábor J. 13 Tabuada, Gonçalo 13 Wallet, Jean-Christophe 12 Banica, Teodor 12 Goswami, Debashish 12 Ponge, Raphaël S. 12 Skalski, Adam G. 12 Sukochev, Fedor Anatol’evich 11 Dabrowski, Ludwik 11 Zhang, Yinhuo 10 Ebrahimi-Fard, Kurusch 10 Goffeng, Magnus 10 Iochum, Bruno 10 Kaufmann, Ralph M. 10 Khalkhali, Masoud 10 Landi, Giovanni 10 Sołtan, Piotr Mikołaj 9 Bhowmick, Jyotishman 9 Connes, Alain 9 Fathizadeh, Farzad 9 Freslon, Amaury 9 Kaad, Jens 9 Meyer, Ralf 9 Neshveyev, Sergey V. 9 Teplyaev, Alexander 9 Weber, Moritz 8 Bai, Chengming 8 Carey, Alan L. 8 Dadarlat, Marius 8 Dolgushev, Vasily A. 8 Kasprzak, Paweł 8 Li, Xin 8 Manchon, Dominique 8 Sati, Hisham 8 Sims, Aidan 8 Tanasă, Adrian 8 Winter, Wilhelm 8 Zhang, James J. 7 Benameur, Moulay-Tahar 7 Dong, Jingcheng 7 Gayral, Victor 7 Guo, Li 7 Hajac, Piotr M. 7 He, Jiwei 7 Hochs, Peter 7 Laca, Marcelo 7 Larsen, Nadia S. 7 Mahanta, Snigdhayan 7 Mesland, Bram 7 Patras, Frédéric 7 Pennig, Ulrich 7 Piazza, Paolo 7 Resende, Pedro 7 Solleveld, Maarten 7 Torrecillas Jover, Blas 7 van Oystaeyen, Freddy 7 Walton, Chelsea 7 Wang, Hang 7 Willett, Rufus 6 Angella, Daniele 6 Brannan, Michael 6 Chen, Xiaojun 6 De Commer, Kenny 6 Deeley, Robin J. 6 Gardella, Eusebio 6 Herscovich, Estanislao 6 Hinz, Michael 6 Julien, Antoine 6 Kang, Sooran 6 Klimek, Slawomir 6 Masson, Thierry 6 Mathai, Varghese 6 Packer, Judith A. 6 Rivasseau, Vincent 6 Savin, Anton Yur’evich 6 Schnürer, Olaf M. 6 Sheng, Yunhe 6 Usachev, Aleksandr Sergeevich 6 Vitale, Patrizia 6 Wang, Xingting 6 Willwacher, Thomas Hans 5 Aastrup, Johannes 5 Arici, Francesca 5 Bourne, Chris 5 Bulacu, Daniel 5 Cuntz, Joachim 5 Faber, Eleonore 5 García, Gastón Andrés 5 Grimstrup, Jesper Møller 5 Grosse, Harald 5 Guin, Satyajit ...and 1,313 more Authors
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#### Cited in 202 Journals

 104 Advances in Mathematics 103 Journal of Noncommutative Geometry 90 Journal of Geometry and Physics 80 Journal of Algebra 75 Communications in Mathematical Physics 66 Journal of Functional Analysis 47 Letters in Mathematical Physics 37 Journal of Pure and Applied Algebra 36 Transactions of the American Mathematical Society 35 Journal of Mathematical Physics 26 Proceedings of the American Mathematical Society 25 Communications in Algebra 24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 22 Journal of High Energy Physics 20 Journal of Mathematical Analysis and Applications 20 Algebras and Representation Theory 18 International Journal of Mathematics 17 Mathematische Annalen 17 Mathematische Zeitschrift 17 Selecta Mathematica. New Series 16 Annales Henri Poincaré 16 Journal of Topology and Analysis 14 Journal für die Reine und Angewandte Mathematik 11 Israel Journal of Mathematics 11 Ergodic Theory and Dynamical Systems 10 Pacific Journal of Mathematics 10 Documenta Mathematica 10 Mathematical Physics, Analysis and Geometry 10 Algebraic & Geometric Topology 10 Journal of Algebra and its Applications 10 Journal of Homotopy and Related Structures 9 Inventiones Mathematicae 9 Memoirs of the American Mathematical Society 9 International Journal of Geometric Methods in Modern Physics 8 Annales de l’Institut Fourier 8 Integral Equations and Operator Theory 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Reviews in Mathematical Physics 7 Glasgow Mathematical Journal 7 Topology and its Applications 7 Advances in Applied Mathematics 7 Applied Categorical Structures 6 Compositio Mathematica 6 Illinois Journal of Mathematics 6 Manuscripta Mathematica 6 Annals of Global Analysis and Geometry 6 Russian Journal of Mathematical Physics 6 Journal of the European Mathematical Society (JEMS) 6 Kyoto Journal of Mathematics 6 Annals of $$K$$-Theory 5 Fortschritte der Physik 5 The Journal of Geometric Analysis 5 Journal of Mathematical Sciences (New York) 5 Bulletin des Sciences Mathématiques 5 Geometry & Topology 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Annals of Mathematics. Second Series 5 Lobachevskii Journal of Mathematics 5 Frontiers of Mathematics in China 5 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Bulletin of the London Mathematical Society 4 Duke Mathematical Journal 4 Journal of Number Theory 4 Forum Mathematicum 4 Geometric and Functional Analysis. GAFA 4 Theory and Applications of Categories 4 Journal of the Australian Mathematical Society 4 Journal of Topology 4 Science China. Mathematics 4 Forum of Mathematics, Sigma 3 Bulletin of the Australian Mathematical Society 3 Reports on Mathematical Physics 3 Indiana University Mathematics Journal 3 Journal of Combinatorial Theory. Series A 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 3 Differential Geometry and its Applications 3 Russian Mathematics 3 Transformation Groups 3 Central European Journal of Mathematics 3 Complex Analysis and Operator Theory 3 Advances in Mathematical Physics 3 Journal of Pseudo-Differential Operators and Applications 3 Journal of Fractal Geometry 3 Journal de l’École Polytechnique – Mathématiques 3 Higher Structures 2 General Relativity and Gravitation 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Nuclear Physics. B 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin ...and 102 more Journals
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#### Cited in 52 Fields

 563 Functional analysis (46-XX) 379 Associative rings and algebras (16-XX) 342 Global analysis, analysis on manifolds (58-XX) 239 Quantum theory (81-XX) 220 Category theory; homological algebra (18-XX) 190 $$K$$-theory (19-XX) 173 Algebraic geometry (14-XX) 165 Differential geometry (53-XX) 139 Nonassociative rings and algebras (17-XX) 132 Group theory and generalizations (20-XX) 101 Topological groups, Lie groups (22-XX) 98 Operator theory (47-XX) 92 Algebraic topology (55-XX) 58 Manifolds and cell complexes (57-XX) 54 Combinatorics (05-XX) 49 Number theory (11-XX) 48 Relativity and gravitational theory (83-XX) 46 Commutative algebra (13-XX) 45 Dynamical systems and ergodic theory (37-XX) 42 Partial differential equations (35-XX) 41 Several complex variables and analytic spaces (32-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Measure and integration (28-XX) 23 General topology (54-XX) 21 Probability theory and stochastic processes (60-XX) 19 Abstract harmonic analysis (43-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Functions of a complex variable (30-XX) 13 Potential theory (31-XX) 13 Ordinary differential equations (34-XX) 11 Mathematical logic and foundations (03-XX) 10 Special functions (33-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of particles and systems (70-XX) 7 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 6 Computer science (68-XX) 5 Integral equations (45-XX) 4 Difference and functional equations (39-XX) 4 Information and communication theory, circuits (94-XX) 3 General algebraic systems (08-XX) 3 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)