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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: 581 Publications (since 2007)
References Indexed: 504 Publications with 12,900 References.
all top 5

Authors

9 Tabuada, Gonçalo
7 Hajac, Piotr M.
7 van Suijlekom, Walter Daniël
6 Kaad, Jens
6 Meyer, Ralf
6 Neshveyev, Sergey V.
6 Van den Bergh, Michel
5 Benameur, Moulay-Tahar
5 Dabrowski, Ludwik
5 Dadarlat, Marius
5 Kaufmann, Ralph M.
5 Landi, Giovanni
5 Mathai, Varghese
5 Schick, Thomas
5 Tang, Xiang
5 Wang, Hang
4 Batanin, Michael A.
4 Brzeziński, Tomasz
4 Chirvăsitu, Alexandru
4 D’Andrea, Francesco
4 Herscovich, Estanislao
4 Iochum, Bruno
4 Kaygun, Atabey
4 Khalkhali, Masoud
4 Nest, Ryszard
4 Plymen, Roger J.
4 Ponge, Raphaël S.
4 Rennie, Adam
4 Sheng, Yunhe
4 Sitarz, Andrzej
4 Solotar, Andrea Leonor
4 Sołtan, Piotr Mikołaj
4 Timmermann, Thomas
4 Zieliński, Bartosz
3 Arici, Francesca
3 Banerjee, Abhishek
3 Bunke, Ulrich
3 Cuntz, Joachim
3 Fathizadeh, Farzad
3 Fima, Pierre
3 Gavarini, Fabio
3 Gayral, Victor
3 Kasprzak, Paweł
3 Kowalzig, Niels
3 Kubota, Yosuke
3 Li, Kang
3 Li, Xin
3 Liu, Hongzhi
3 Majid, Shahn
3 Manchon, Dominique
3 Marcolli, Matilde
3 Markl, Martin
3 Masson, Thierry
3 Mesland, Bram
3 Niblo, Graham A.
3 Paravicini, Walther Dietrich
3 Piazza, Paolo
3 Ramadoss, Ajay C.
3 Rangipour, Bahram
3 Roy, Indrava
3 Roy, Sutanu
3 Sims, Aidan
3 Sütlü, Serkan
3 Tanasă, Adrian
3 Tang, Rong
3 Thiel, Hannes
3 Winter, Wilhelm
3 Wright, Nick J.
3 Yamashita, Makoto
2 Aastrup, Johannes
2 Abbaspour, Hossein
2 Agore, Ana-Loredana
2 Arano, Yuki
2 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 Chung, Yeong Chyuan
2 Cibils, Claude
2 Connes, Alain
2 Conti, Roberto
2 Cortiñas, Guillermo H.
2 Crisp, Tyrone
2 Cuadra, Juan
2 Das, Biswarup
2 De Commer, Kenny
2 de Mendonça Braga, Bruno
2 Deeley, Robin J.
2 Deng, Jintao
...and 663 more Authors
all top 5

Fields

267 Functional analysis (46-XX)
167 Associative rings and algebras (16-XX)
167 Global analysis, analysis on manifolds (58-XX)
123 \(K\)-theory (19-XX)
88 Category theory; homological algebra (18-XX)
74 Algebraic geometry (14-XX)
69 Differential geometry (53-XX)
69 Quantum theory (81-XX)
65 Nonassociative rings and algebras (17-XX)
48 Group theory and generalizations (20-XX)
48 Algebraic topology (55-XX)
45 Topological groups, Lie groups (22-XX)
31 Operator theory (47-XX)
27 Several complex variables and analytic spaces (32-XX)
16 Commutative algebra (13-XX)
14 Number theory (11-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Manifolds and cell complexes (57-XX)
13 Combinatorics (05-XX)
8 Functions of a complex variable (30-XX)
8 Abstract harmonic analysis (43-XX)
7 Partial differential equations (35-XX)
7 Geometry (51-XX)
6 Mathematical logic and foundations (03-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 General topology (54-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Relativity and gravitational theory (83-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Field theory and polynomials (12-XX)
3 Mechanics of particles and systems (70-XX)
2 Probability theory and stochastic processes (60-XX)
2 Information and communication theory, circuits (94-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Computer science (68-XX)

Publications by Year

Citations contained in zbMATH Open

477 Publications have been cited 3,233 times in 2,355 Documents Cited by Year
On the spectral characterization of manifolds. Zbl 1287.58004
Connes, Alain
98
2013
Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable. Zbl 1227.46041
Winter, Wilhelm
40
2011
The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure. Zbl 1256.58002
Fathizadeh, Farzad; Khalkhali, Masoud
35
2012
Scalar curvature for the noncommutative two torus. Zbl 1295.46053
Fathizadeh, Farzad; Khalkhali, Masoud
35
2013
Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets. Zbl 1181.46056
Pearson, John; Bellissard, Jean
34
2009
Fusion rules for quantum reflection groups. Zbl 1203.46048
Banica, Teodor; Vergnioux, Roland
32
2009
Homotopy Batalin-Vilkovisky algebras. Zbl 1258.18005
Gálvez-Carrillo, Imma; Tonks, Andrew; Vallette, Bruno
32
2012
Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras. Zbl 1161.16022
Berger, Roland; Taillefer, Rachel
31
2007
The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. Zbl 1144.18007
Dolgushev, Vasiliy A.; Tamarkin, Dmitry; Tsygan, Boris
31
2007
Double constructions of Frobenius algebras, Connes cocycles and their duality. Zbl 1250.17028
Bai, Chengming
29
2010
Bordism, rho-invariants and the Baum-Connes conjecture. Zbl 1158.58012
Piazza, Paolo; Schick, Thomas
29
2007
The Baum-Connes conjecture with coefficients for hyperbolic groups. (La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques.) Zbl 1328.19010
Lafforgue, Vincent
27
2012
A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov’s recursion. Zbl 1171.81412
Ebrahimi-Fard, Kurusch; Manchon, Dominique; Patras, Frédéric
26
2009
Twisting on associative algebras and Rota-Baxter type operators. Zbl 1248.16027
Uchino, Kyousuke
26
2010
Gauge theory for spectral triples and the unbounded Kasparov product. Zbl 1341.58007
Brain, Simon; Mesland, Bram; van Suijlekom, Walter D.
26
2016
Scalar curvature for noncommutative four-tori. Zbl 1332.46071
Fathizadeh, Farzad; Khalkhali, Masoud
26
2015
Noncommutative quadric surfaces. Zbl 1290.14003
Smith, S. Paul; Van den Bergh, Michel
25
2013
Twisted Calabi-Yau property of Ore extensions. Zbl 1317.16025
Liu, Liyu; Wang, Shengqiang; Wu, Quanshui
24
2014
Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus. Zbl 1226.81279
Cagnache, Eric; Masson, Thierry; Wallet, Jean-Christophe
24
2011
Dirac operators on all Podleś quantum spheres. Zbl 1121.58008
Dąbrowski, Ludwik; D’Andrea, Francesco; Landi, Giovanni; Wagner, Elmar
24
2007
Pseudodifferential calculus on a singular foliation. Zbl 1216.53029
Androulidakis, Iakovos; Skandalis, Georges
23
2011
The cyclic theory of Hopf algebroids. Zbl 1262.16030
Kowalzig, Niels; Posthuma, Hessel
23
2011
Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators. Zbl 1169.55005
Kaufmann, Ralph M.
23
2008
Non-commutative resolutions and Grothendieck groups. Zbl 1327.13053
Dao, Hailong; Iyama, Osamu; Takahashi, Ryo; Vial, Charles
23
2015
Topological graph polynomials and quantum field theory. I: Theory kernel theories. Zbl 1186.81095
Krajewski, Thomas; Rivasseau, Vincent; Tanasă, Adrian; Wang, Zhituo
23
2010
Spectral triples from bimodule connections and Chern connections. Zbl 1373.58004
Beggs, Edwin; Majid, Shahn
22
2017
C*-algebras associated with integral domains and crossed products by actions on adele spaces. Zbl 1229.46044
Cuntz, Joachim; Li, Xin
22
2011
Easy quantum groups and quantum subgroups of a semi-direct product quantum group. Zbl 1350.46047
Raum, Sven; Weber, Moritz
21
2015
Chow motives versus noncommutative motives. Zbl 1296.14019
Tabuada, Gonçalo
20
2013
The closed state space of affine Landau-Ginzburg B-models. Zbl 1286.14003
Segal, Ed
20
2013
On the structure of (co-Frobenius) Hopf algebras. Zbl 1279.16024
Andruskiewitsch, Nicolás; Cuadra, Juan
20
2013
Property (T) and exotic quantum group norms. Zbl 1277.46041
Kyed, David; Sołtan, Piotr M.
19
2012
Crossed products by compact group actions with the Rokhlin property. Zbl 1390.46060
Gardella, Eusebio
19
2017
Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory. Zbl 1358.19001
Kasparov, Gennadi
18
2016
Geometric cycles, index theory and twisted \(K\)-homology. Zbl 1169.19003
Wang, Bai-Ling
18
2008
Star product realizations of \(\kappa \)-Minkowski space. Zbl 1282.46063
Durhuus, Bergfinnur; Sitarz, Andrzej
17
2013
Uniform local amenability. Zbl 1281.46023
Brodzki, Jacek; Niblo, Graham A.; Špakula, Ján; Willett, Rufus; Wright, Nick
17
2013
Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. Zbl 1145.55008
Kaufmann, Ralph M.
17
2007
Metric and spectral triples for Dirichlet and resistance forms. Zbl 1327.81236
Hinz, Michael; Kelleher, Daniel J.; Teplyaev, Alexander
17
2015
Van den Bergh duality and Batalin-Vilkoviskiĭ structure on Calabi-Yau algebras. (Dualité de Van den Bergh et structure de Batalin-Vilkoviskiĭ sur les algèbres de Calabi-Yau.) Zbl 1267.16009
Lambre, Thierry
16
2010
Noncommutative \(\varepsilon \)-graded connections. Zbl 1275.58003
de Goursac, Axel; Masson, Thierry; Wallet, Jean-Christophe
16
2012
Graph products of operator algebras. Zbl 1373.46055
Caspers, Martijn; Fima, Pierre
16
2017
Quantum \(\mathrm{SO}(3)\) groups and quantum group actions on \(M_{2}\). Zbl 1194.46108
Sołtan, Piotr M.
16
2010
The spectral localizer for even index pairings. Zbl 1441.19011
Loring, Terry A.; Schulz-Baldes, Hermann
16
2020
Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052
Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang
16
2020
McKay correspondence for semisimple Hopf actions on regular graded algebras. II. Zbl 1444.16044
Chan, Kenneth; Kirkman, Ellen; Walton, Chelsea; Zhang, James J.
16
2019
Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras. Zbl 1422.16004
Bao, Yanhong; He, Jiwei; Zhang, James J.
15
2019
The Novikov conjecture on Cheeger spaces. Zbl 1375.57034
Albin, Pierre; Leichtnam, Eric; Mazzeo, Rafe; Piazza, Paolo
15
2017
Riemannian curvature of the noncommutative 3-sphere. Zbl 1378.46053
Arnlind, Joakim; Wilson, Mitsuru
15
2017
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
15
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
15
2013
Piecewise principal comodule algebras. Zbl 1258.16036
Hajac, Piotr M.; Krähmer, Ulrich; Matthes, Rainer; Zieliński, Bartosz
15
2011
Pimsner algebras and Gysin sequences from principal circle actions. Zbl 1342.19006
Arici, Francesca; Kaad, Jens; Landi, Giovanni
15
2016
Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem. Zbl 1343.58004
Ponge, Raphaël; Wang, Hang
15
2016
Hereditary triangulated categories. Zbl 1430.18010
Chen, Xiao-Wu; Ringel, Claus Michael
15
2018
On the classification of certain fusion categories. Zbl 1208.18004
Jordan, David; Larson, Eric
14
2009
Modular envelopes, OSFT and nonsymmetric (non-\(\Sigma\)) modular operads. Zbl 1375.81205
Markl, Martin
14
2016
Quantales of open groupoids. Zbl 1253.06019
Protin, M. Clarence; Resende, Pedro
14
2012
Spectral geometry of the Moyal plane with harmonic propagation. Zbl 1295.46054
Gayral, Victor; Wulkenhaar, Raimar
14
2013
On compact bicrossed products. Zbl 1410.46054
Fima, Pierre; Mukherjee, Kunal; Patri, Issan
14
2017
Dirac operators and geodesic metric on the harmonic Sierpiński gasket and other fractal sets. Zbl 1320.28015
Lapidus, Michel L.; Sarhad, Jonathan J.
13
2014
Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\). Zbl 1325.46074
Voiculescu, Dan-Virgil
13
2014
About the convolution of distributions on groupoids. Zbl 1385.46026
Lescure, Jean-Marie; Manchon, Dominique; Vassout, Stéphane
13
2017
Inequalities à la Frölicher and cohomological decompositions. Zbl 1325.32018
Angella, Daniele; Tomassini, Adriano
13
2015
The Ricci curvature in noncommutative geometry. Zbl 1417.58003
Floricel, Remus; Ghorbanpour, Asghar; Khalkhali, Masoud
13
2019
Tate-Hochschild homology and cohomology of Frobenius algebras. Zbl 1305.16007
Bergh, Petter Andreas; Jorgensen, David A.
13
2013
\(L^2\)-index formula for proper cocompact group actions. Zbl 1338.19008
Wang, Hang
12
2014
Braided quantum SU(2) groups. Zbl 1358.81128
Kasprzak, Paweł; Meyer, Ralf; Roy, Sutanu; Woronowicz, Stanisław Lech
12
2016
Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture. Zbl 1192.46066
Ji, Ronghui; Ogle, Crichton; Ramsey, Bobby
12
2010
On spectral triples in quantum gravity. II. Zbl 1158.46312
Aastrup, Johannes; Grimstrup, Jesper Møller; Nest, Ryszard
12
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
12
2015
The homotopy groups of the automorphism group of Kirchberg algebras. Zbl 1144.46047
Dadarlat, Marius
12
2007
Strongly self-absorbing \(C^*\)-dynamical systems. II. Zbl 1398.46058
Szabó, Gábor
12
2018
Riemannian submersions and factorization of Dirac operators. Zbl 1405.19002
Kaad, Jens; van Suijlekom, Walter D.
11
2018
Rough index theory on spaces of polynomial growth and contractibility. Zbl 1436.58019
Engel, Alexander
11
2019
Index of elliptic operators for diffeomorphisms of manifolds. Zbl 1320.58010
Savin, Anton; Sternin, Boris
11
2014
Group quasi-representations and almost flat bundles. Zbl 1296.46058
Dadarlat, Marius
11
2014
On Frobenius and separable algebra extensions in monoidal categories: applications to wreaths. Zbl 1347.16035
Bulacu, Daniel; Torrecillas, Blas
11
2015
A noncommutative sigma-model. Zbl 1260.58004
Mathai, Varghese; Rosenberg, Jonathan
11
2011
Spectral action on noncommutative torus. Zbl 1156.46046
Essouabri, Driss; Iochum, Bruno; Levy, Cyril; Sitarz, Andrzej
11
2008
Hopf algebra of non-commutative field theory. Zbl 1181.81101
Tanasă, Adrian; Vignes-Tourneret, Fabien
11
2008
Periodic cyclic homology of reductive \(p\)-adic groups. Zbl 1181.22018
Solleveld, Maarten
11
2009
A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group. Zbl 1346.46062
Dadarlat, Marius; Pennig, Ulrich
11
2015
Simple equivariant \(\mathrm{C}^\ast\)-algebras whose full and reduced crossed products coincide. Zbl 1453.46060
Suzuki, Yuhei
11
2019
Matrix factorizations and semi-orthogonal decompositions for blowing-ups. Zbl 1360.14063
Lunts, Valery A.; Schnürer, Olaf M.
11
2016
Complete positivity of Rieffel’s deformation quantization by actions of \(\mathbb R^d\). Zbl 1172.53055
Kaschek, Daniel; Neumaier, Nikolai; Waldmann, Stefan
10
2009
Dixmier traces generated by exponentiation invariant generalised limits. Zbl 1303.46053
Sukochev, Fedor; Usachev, Alexandr; Zanin, Dmitriy
10
2014
On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010
Natale, Sonia
10
2014
Electrodynamics from noncommutative geometry. Zbl 1272.58006
van den Dungen, Koen; van Suijlekom, Walter D.
10
2013
Classification of traces and hypertraces on spaces of classical pseudodifferential operators. Zbl 1272.58015
Lesch, Matthias; Jiménez, Carolina Neira
10
2013
The Chern character of semifinite spectral triples. Zbl 1157.46045
Carey, Alan L.; Phillips, John; Rennie, Adam; Sukochev, Fyodor A.
10
2008
Fourier analysis on the affine group, quantization and noncompact Connes geometries. Zbl 1148.43005
Gayral, Victor; Gracia-Bondía, José M.; Várilly, Joseph C.
10
2008
Phase transition in the Connes-Marcolli \(\mathrm{GL}_2\)-system. Zbl 1143.46039
Laca, Marcelo; Larsen, Nadia S.; Neshveyev, Sergey
10
2007
The Gysin sequence for quantum Lens spaces. Zbl 1404.46063
Arici, Francesca; Brain, Simon; Landi, Giovanni
10
2015
The analytical assembly map and index theory. Zbl 1343.19001
Land, Markus
10
2015
Quantum group-twisted tensor products of \(C^*\)-algebras. II. Zbl 1362.46070
Meyer, Ralf; Roy, Sutanu; Woronowicz, Stanisław Lech
10
2016
The homology of the Katsura-Exel-Pardo groupoid. Zbl 1479.46080
Ortega, Eduard
10
2020
Calabi-Yau deformations and negative cyclic homology. Zbl 1422.14044
De Völcsey, Louis De Thanhoffer; van den Bergh, Michel
10
2018
On quaternionic tori and their moduli space. Zbl 1405.30051
Bisi, Cinzia; Gentili, Graziano
10
2018
Gerstenhaber brackets on Hochschild cohomology of twisted tensor products. Zbl 1382.16005
Grimley, Lauren; Nguyen, Van C.; Witherspoon, Sarah
10
2017
Connes’ integration and Weyl’s laws. Zbl 07722571
Ponge, Raphaël
6
2023
Nonnoetherian singularities and their noncommutative blowups. Zbl 1530.14003
Beil, Charlie
3
2023
Geometric similarity invariants of Cowen-Douglas operators. Zbl 1522.32047
Jiang, Chunlan; Ji, Kui; Keshari, Dinesh Kumar
3
2023
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type. Zbl 1528.16030
Angiono, Iván Ezequiel; Campagnolo, Emiliano; Sanmarco, Guillermo
2
2023
Callias-type operators associated to spectral triples. Zbl 1527.46047
Schulz-Baldes, Hermann; Stoiber, Tom
2
2023
Homotopy Rota-Baxter operators and post-Lie algebras. Zbl 1519.17023
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe
2
2023
Quantum geometry of Boolean algebras and de Morgan duality. Zbl 07687930
Majid, Shahn
2
2023
A short proof of the localization formula for the loop space Chern character of spin manifolds. Zbl 1516.53046
Ludewig, Matthias; Yi, Zelin
2
2023
Strongly quasi-local algebras and their \(K\)-theories. Zbl 1523.46055
Bao, Hengda; Chen, Xiaoman; Zhang, Jiawen
2
2023
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks. Zbl 1520.53018
Biswas, Indranil; Chatterjee, Saikat; Koushik, Praphulla; Neumann, Frank
1
2023
Wheel graph homology classes via Lie graph homology. Zbl 1529.18015
Ward, Benjamin C.
1
2023
Calabi-Yau structures for multiplicative preprojective algebras. Zbl 07761256
Bozec, Tristan; Calaque, Damien; Scherotzke, Sarah
1
2023
Ideal structure and pure infiniteness of inverse semigroup crossed products. Zbl 07761261
Kwaśniewski, Bartosz Kosma; Meyer, Ralf
1
2023
On a definition of logarithm of quaternionic functions. Zbl 07761263
Gentili, Graziano; Prezelj, Jasna; Vlacci, Fabio
1
2023
Compact quantum group structures on type-I \(\mathrm{C}^*\)-algebras. Zbl 07761264
Chirvasitu, Alexandru; Krajczok, Jacek; Sołtan, Piotr M.
1
2023
Cosimplicial monoids and deformation theory of tensor categories. Zbl 1524.18038
Batanin, Michael; Davydov, Alexei
1
2023
Non-embeddable \(\mathrm{II}_1\) factors resembling the hyperfinite \(\mathrm{II}_1\) factor. Zbl 1517.46046
Goldbring, Isaac
1
2023
Unitary Harish-Chandra representations of real supergroups. Zbl 1519.17008
Carmeli, Claudio; Fioresi, Rita; Varadarajan, Veeravalli S.
1
2023
Pseudodifferential operators on filtered manifolds as generalized fixed points. Zbl 1511.58011
Ewert, Eske
1
2023
Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. Zbl 1518.17004
Tang, Rong; Sheng, Yunhe
8
2022
The Novikov conjecture and extensions of coarsely embeddable groups. Zbl 1498.19005
Deng, Jintao
4
2022
Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models. Zbl 1511.58002
Pérez-Sánchez, Carlos I.
3
2022
Cyclic cocycles in the spectral action. Zbl 1511.46051
van Nuland, Teun D. H.; van Suijlekom, Walter D.
3
2022
Quantum Euclidean spaces with noncommutative derivatives. Zbl 1508.46052
Gao, Li; Junge, Marius; McDonald, Edward
3
2022
Noncommutative CW-spectra as enriched presheaves on matrix algebras. Zbl 1521.46038
Arone, Gregory; Barnea, Ilan; Schlank, Tomer M.
2
2022
An equivariant pullback structure of trimmable graph \(C^{\ast}\)-algebras. Zbl 1515.46047
Arici, Francesca; D’Andrea, Francesco; Hajac, Piotr M.; Tobolski, Mariusz
2
2022
Multiparameter quantum groups at roots of unity. Zbl 1523.17030
García, Gastón Andrés; Gavarini, Fabio
2
2022
Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem. Zbl 1490.19012
Loizides, Yiannis
2
2022
The relative Mishchenko-Fomenko higher index and almost flat bundles. II: Almost flat index pairing. Zbl 1490.19008
Kubota, Yosuke
2
2022
Lifting theorems for completely positive maps. Zbl 1506.46042
Gabe, James
2
2022
Lorentzian fermionic action by twisting Euclidean spectral triples. Zbl 1505.58002
Martinetti, Pierre; Singh, Devashish
2
2022
Polarization and deformations of generalized dendriform algebras. Zbl 1525.17002
Ospel, Cyrille; Panaite, Florin; Vanhaecke, Pol
2
2022
A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces. Zbl 1515.16014
Kaufmann, Ralph M.
2
2022
Secondary higher invariants and cyclic cohomology for groups of polynomial growth. Zbl 1511.58008
John, Sheagan A. K. A.
1
2022
Coarse quotients of metric spaces and embeddings of uniform Roe algebras. Zbl 1523.46016
Braga, Bruno M.
1
2022
Purely infinite corona algebras and extensions. Zbl 1521.46036
Ng, Ping Wong
1
2022
A proof of a conjecture of Shklyarov. Zbl 1520.14031
Brown, Michael K.; Walker, Mark E.
1
2022
Iterated Hopf Ore extensions in positive characteristic. Zbl 1510.16028
Brown, Kenneth A.; Zhang, James J.
1
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On the lifting property for \(C^{\ast}\)-algebras. Zbl 07629322
Pisier, Gilles
1
2022
A noncommutative extension of Mahler’s interpolation theorem. Zbl 1523.11213
Pin, Jean-Éric; Reutenauer, Christophe
1
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Quantizations of local surfaces and rebel instantons. Zbl 1493.14015
Barmeier, Severin; Gasparim, Elizabeth
1
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A variant of Roe algebras for spaces with cylindrical ends with applications in relative higher index theory. Zbl 1502.19006
Seyedhosseini, Mehran
1
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Slice regular functions and orthogonal complex structures over \(\mathbb{R}^8\). Zbl 1510.32005
Ghiloni, Riccardo; Perotti, Alessandro; Stoppato, Caterina
1
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The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations. Zbl 1481.46052
Lawson, Mark V.; Vdovina, Alina
8
2021
The dual modular Gromov-Hausdorff propinquity and completeness. Zbl 1481.46078
Latrémolière, Frédéric
8
2021
Equivalences of (co)module algebra structures over Hopf algebras. Zbl 1491.16042
Agore, Ana L.; Gordienko, Alexey; Vercruysse, Joost
5
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Algebraic bivariant \(K\)-theory and Leavitt path algebras. Zbl 1468.19008
Cortiñas, Guillermo; Montero, Diego
5
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A categorical characterization of quantum projective spaces. Zbl 1527.14008
Mori, Izuru; Ueyama, Kenta
4
2021
Odd characteristic classes in entire cyclic homology and equivariant loop space homology. Zbl 1494.55013
Cacciatori, Sergio; Güneysu, Batu
4
2021
Polyvector fields and polydifferential operators associated with Lie pairs. Zbl 1492.53093
Bandiera, Ruggero; Stiénon, Mathieu; Xu, Ping
4
2021
The adiabatic groupoid and the Higson-Roe exact sequence. Zbl 1511.19005
Zenobi, Vito Felice
4
2021
Ideals of étale groupoid algebras and Exel’s Effros-Hahn conjecture. Zbl 1508.22004
Steinberg, Benjamin
4
2021
Quotients of singular foliations and Lie 2-group actions. Zbl 1486.22002
Garmendia, Alfonso; Zambon, Marco
4
2021
Quadratic Lie conformal superalgebras related to Novikov superalgebras. Zbl 1487.17046
Kolesnikov, Pavel S.; Kozlov, Roman A.; Panasenko, Aleksander S.
4
2021
The unbounded Kasparov product by a differentiable module. Zbl 1490.19006
Kaad, Jens
3
2021
Invariant Markov semigroups on quantum homogeneous spaces. Zbl 1486.46070
Das, Biswarup; Franz, Uwe; Wang, Xumin
3
2021
Quasifolds, diffeology and noncommutative geometry. Zbl 1487.58002
Iglesias-Zemmour, Patrick; Prato, Elisa
3
2021
Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras. Zbl 1494.53101
Chen, Xiaojun; Chen, Youming; Eshmatov, Farkhod; Yang, Song
3
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Covering-monopole map and higher degree in non-commutative geometry. Zbl 1509.58002
Kato, Tsuyoshi
3
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The coarse geometric \(\ell^p\)-Novikov conjecture for subspaces of nonpositively curved manifolds. Zbl 1482.19006
Shan, Lin; Wang, Qin
3
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Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra. Zbl 1494.16008
Lopes, Samuel A.; Solotar, Andrea
3
2021
The Higson-Roe sequence for étale groupoids. II: The universal sequence for equivariant families. Zbl 1469.19007
Benameur, Moulay-Tahar; Roy, Indrava
3
2021
Equivariant vector bundles over quantum spheres. Zbl 1475.17025
Mudrov, Andrey
3
2021
K-theory and homotopies of twists on ample groupoids. Zbl 1477.46077
Bönicke, Christian
3
2021
Cup product on \(A_\infty\)-cohomology and deformations. Zbl 1492.16029
Sharapov, Alexey A.; Skvortsov, Evgeny D.
3
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Cyclic \(A_\infty\)-algebras and double Poisson algebras. Zbl 1484.16009
Fernández, David; Herscovich, Estanislao
3
2021
Structure and \(K\)-theory of \(\ell^p\) uniform Roe algebras. Zbl 1494.46045
Chung, Yeong Chyuan; Li, Kang
2
2021
\(G\)-homotopy invariance of the analytic signature of proper co-compact \(G\)-manifolds and equivariant Novikov conjecture. Zbl 1511.19007
Fukumoto, Yoshiyasu
2
2021
Strict quantization of coadjoint orbits. Zbl 1491.53094
Schmitt, Philipp
2
2021
\(L^p\) coarse Baum-Connes conjecture and \(K\)-theory for \(L^p\) Roe algebras. Zbl 1486.19004
Zhang, Jianguo; Zhou, Dapeng
2
2021
Classification, Koszulity and Artin-Schelter regularity of certain graded twisted tensor products. Zbl 1490.16062
Conner, Andrew; Goetz, Peter
2
2021
Quasi-homogeneity of potentials. Zbl 1481.16032
Hua, Zheng; Zhou, Guisong
1
2021
On Runge pairs and topology of axially symmetric domains. Zbl 1484.30051
Bisi, Cinzia; Winkelmann, Jörg
1
2021
On localized signature and higher rho invariant of fibered manifolds. Zbl 1484.19009
Liu, Hongzhi; Wang, Jinmin
1
2021
Koszul duality for compactly generated derived categories of second kind. Zbl 1479.18011
Guan, Ai; Lazarev, Andrey
1
2021
Induced map on \(K\)-theory for certain \(\Gamma \)-equivariant maps between Hilbert spaces. Zbl 1492.46067
Kato, Tsuyoshi
1
2021
Vector bundles over multipullback quantum complex projective spaces. Zbl 1469.19006
Sheu, Albert Jeu-Liang
1
2021
The spectral localizer for even index pairings. Zbl 1441.19011
Loring, Terry A.; Schulz-Baldes, Hermann
16
2020
Simple stably projectionless C*-algebras with generalized tracial rank one. Zbl 1460.46052
Elliott, George A.; Gong, Guihua; Lin, Huaxin; Niu, Zhuang
16
2020
The homology of the Katsura-Exel-Pardo groupoid. Zbl 1479.46080
Ortega, Eduard
10
2020
Quantum groups with projection and extensions of locally compact quantum groups. Zbl 1448.46054
Kasprzak, Paweł; Sołtan, Piotr M.
8
2020
The relative Mishchenko-Fomenko higher index and almost flat bundles. I: The relative Mishchenko-Fomenko index. Zbl 1469.19010
Kubota, Yosuke
8
2020
Non-commutative crepant resolutions for some toric singularities. II. Zbl 1454.13011
Špenko, Špela; Van den Bergh, Michel
7
2020
Duality of Gabor frames and Heisenberg modules. Zbl 1481.46055
Jakobsen, Mads S.; Luef, Franz
7
2020
The intertwiner spaces of non-easy group-theoretical quantum groups. Zbl 1511.46049
Maaßen, Laura
6
2020
Deformation-obstruction theory for diagrams of algebras and applications to geometry. Zbl 1479.16028
Barmeier, Severin; Frégier, Yaël
6
2020
Symmetries of slice monogenic functions. Zbl 1468.30083
Colombo, Fabrizio; Kraußhar, Rolf Sören; Sabadini, Irene
6
2020
The Higson-Roe sequence for étale groupoids. I: Dual algebras and compatibility with the BC map. Zbl 1444.19008
Benameur, Moulay-Tahar; Roy, Indrava
5
2020
Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials. Zbl 1476.14073
Basalaev, Alexey; Takahashi, Atsushi
4
2020
The index of \(G\)-transversally elliptic families. II. Zbl 1466.19008
Baldare, Alexandre
4
2020
Coarse assembly maps. Zbl 1481.19005
Bunke, Ulrich; Engel, Alexander
4
2020
The gauge group of a noncommutative principal bundle and twist deformations. Zbl 1509.81530
Aschieri, Paolo; Landi, Giovanni; Pagani, Chiara
4
2020
Bounds for the rank of the finite part of operator \(K\)-theory. Zbl 1471.46067
Samurkaş, Süleyman Kağan
3
2020
\(A_{\infty}\)-coderivations and the Gerstenhaber bracket on Hochschild cohomology. Zbl 1484.16007
Negron, Cris; Volkov, Yury; Sarah, Witherspoon
3
2020
Partition quantum spaces. Zbl 1478.46067
Jung, Stefan; Weber, Moritz
3
2020
Noncommutative Borsuk-Ulam-type conjectures revisited. Zbl 1481.46077
Dąbrowski, Ludwik; Hajac, Piotr M.; Neshveyev, Sergey
3
2020
Hecke operators in \(KK\)-theory and the \(K\)-homology of Bianchi groups. Zbl 1473.11112
Mesland, Bram; Şengün, Mehmet Haluk
2
2020
Annular representations of free product categories. Zbl 1469.46053
Ghosh, Shamindra Kumar; Jones, Corey; Reddy, B. Madhav
2
2020
Descent of Hilbert \(C^*\)-modules. Zbl 1469.46046
Crisp, Tyrone
2
2020
Property (T), property (F) and residual finiteness for discrete quantum groups. Zbl 1511.46046
Bhattacharya, Angshuman; Brannan, Michael; Chirvasitu, Alexandru; Wang, Shuzhou
2
2020
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Cited by 2,022 Authors

25 Marcolli, Matilde
22 Chirvăsitu, Alexandru
21 Rennie, Adam
21 Skalski, Adam G.
20 Sheng, Yunhe
20 Van den Bergh, Michel
19 Sitarz, Andrzej
18 Dabrowski, Ludwik
18 van Suijlekom, Walter Daniël
18 Wallet, Jean-Christophe
17 Brzeziński, Tomasz
16 Bai, Chengming
15 D’Andrea, Francesco
15 Goswami, Debashish
15 Khalkhali, Masoud
15 Martinetti, Pierre
15 Ponge, Raphaël S.
15 Tabuada, Gonçalo
14 Kaufmann, Ralph M.
14 Landi, Giovanni
14 Majid, Shahn
14 Neshveyev, Sergey V.
14 Sołtan, Piotr Mikołaj
14 Szabó, Gábor
13 Banica, Teodor
13 Goffeng, Magnus
13 Sukochev, Fedor Anatol’evich
13 Weber, Moritz
12 Connes, Alain
12 Guo, Li
12 Hochs, Peter
12 Kaad, Jens
12 Liu, Jiefeng
12 Mathai, Varghese
12 Mesland, Bram
12 Sims, Aidan
11 Bhowmick, Jyotishman
11 Freslon, Amaury
11 Li, Xin
11 Piazza, Paolo
11 Savin, Anton Yur’evich
11 Ueyama, Kenta
11 Wang, Hang
11 Zhang, James J.
11 Zhang, Yinhuo
10 Benameur, Moulay-Tahar
10 Dadarlat, Marius
10 Ebrahimi-Fard, Kurusch
10 Hajac, Piotr M.
10 Iochum, Bruno
10 Kasprzak, Paweł
10 Meyer, Ralf
10 Teplyaev, Alexander
10 Vitale, Patrizia
9 Chen, Xiaojun
9 Farsi, Carla
9 Fathizadeh, Farzad
9 Gardella, Eusebio
9 He, Jiwei
9 Luef, Franz
9 Manchon, Dominique
9 Pennig, Ulrich
9 Resende, Pedro
9 Sati, Hisham
9 Schulz-Baldes, Hermann
9 Torrecillas Jover, Blas
9 Walton, Chelsea
9 Willett, Rufus
9 Winter, Wilhelm
8 Agore, Ana-Loredana
8 Angiono, Iván Ezequiel
8 Arici, Francesca
8 Carey, Alan L.
8 Dolgushev, Vasily A.
8 Guin, Satyajit
8 Guo, Hao
8 Kubota, Yosuke
8 Latrémolière, Frédéric
8 Nest, Ryszard
8 Solleveld, Maarten
8 Tanasă, Adrian
8 Tang, Rong
8 Usachev, Aleksandr Sergeevich
8 van den Dungen, Koenraad Lambertus
8 Witherspoon, Sarah J.
7 Bisi, Cinzia
7 Caspers, Martijn
7 Deeley, Robin J.
7 Dong, Jingcheng
7 Gabe, James
7 Gayral, Victor
7 Gromada, Daniel
7 Hinz, Michael
7 Joardar, Soumalya
7 Kowalzig, Niels
7 Laca, Marcelo
7 Larsen, Nadia S.
7 Lin, Huaxin
7 Mahanta, Snigdhayan
7 Masson, Thierry
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Cited in 279 Journals

162 Journal of Noncommutative Geometry
147 Advances in Mathematics
118 Journal of Algebra
110 Journal of Geometry and Physics
100 Communications in Mathematical Physics
94 Journal of Functional Analysis
60 Letters in Mathematical Physics
54 Journal of Mathematical Physics
54 Journal of Pure and Applied Algebra
41 Communications in Algebra
41 Transactions of the American Mathematical Society
39 Algebras and Representation Theory
38 Mathematische Zeitschrift
37 Proceedings of the American Mathematical Society
37 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
33 International Journal of Mathematics
31 Journal of High Energy Physics
30 Journal of Mathematical Analysis and Applications
27 Mathematische Annalen
26 Journal of Topology and Analysis
25 Journal of Algebra and its Applications
24 Selecta Mathematica. New Series
24 Annals of \(K\)-Theory
18 Ergodic Theory and Dynamical Systems
18 Annales Henri Poincaré
17 Documenta Mathematica
17 Journal of Homotopy and Related Structures
16 Algebraic & Geometric Topology
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 International Journal of Geometric Methods in Modern Physics
16 Journal of Physics A: Mathematical and Theoretical
15 Journal für die Reine und Angewandte Mathematik
15 Memoirs of the American Mathematical Society
14 Israel Journal of Mathematics
14 Pacific Journal of Mathematics
14 Mathematical Physics, Analysis and Geometry
13 Annales de l’Institut Fourier
13 Bulletin of the London Mathematical Society
12 Reviews in Mathematical Physics
11 Inventiones Mathematicae
11 Applied Categorical Structures
10 Integral Equations and Operator Theory
10 Journal of the London Mathematical Society. Second Series
10 Proceedings of the London Mathematical Society. Third Series
10 Russian Journal of Mathematical Physics
9 Glasgow Mathematical Journal
9 The Journal of Geometric Analysis
9 Geometry & Topology
9 Kyoto Journal of Mathematics
8 Journal of the European Mathematical Society (JEMS)
8 Forum of Mathematics, Sigma
7 Fortschritte der Physik
7 Compositio Mathematica
7 Illinois Journal of Mathematics
7 Mathematische Nachrichten
7 Topology and its Applications
7 Advances in Applied Mathematics
7 Forum Mathematicum
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Theory and Applications of Categories
7 Oberwolfach Reports
7 Journal of Topology
7 Science China. Mathematics
6 Bulletin of the Australian Mathematical Society
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Rocky Mountain Journal of Mathematics
6 Indiana University Mathematics Journal
6 Manuscripta Mathematica
6 Annals of Global Analysis and Geometry
6 The New York Journal of Mathematics
6 Bulletin des Sciences Mathématiques
6 Frontiers of Mathematics in China
6 Analysis & PDE
5 Nuclear Physics. B
5 Reports on Mathematical Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Duke Mathematical Journal
5 Geometric and Functional Analysis. GAFA
5 Linear Algebra and its Applications
5 Journal of Algebraic Combinatorics
5 Journal of Mathematical Sciences (New York)
5 Journal of Lie Theory
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 Algebra & Number Theory
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
5 Journal of Spectral Theory
5 Journal of Fractal Geometry
5 Higher Structures
4 Classical and Quantum Gravity
4 Canadian Journal of Mathematics
4 Canadian Mathematical Bulletin
4 Journal of Combinatorial Theory. Series A
4 Journal of the Mathematical Society of Japan
4 Journal of Number Theory
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Results in Mathematics
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Cited in 56 Fields

845 Functional analysis (46-XX)
628 Associative rings and algebras (16-XX)
495 Global analysis, analysis on manifolds (58-XX)
367 Quantum theory (81-XX)
362 Category theory; homological algebra (18-XX)
305 \(K\)-theory (19-XX)
255 Algebraic geometry (14-XX)
254 Nonassociative rings and algebras (17-XX)
253 Differential geometry (53-XX)
203 Group theory and generalizations (20-XX)
177 Topological groups, Lie groups (22-XX)
165 Operator theory (47-XX)
148 Algebraic topology (55-XX)
94 Manifolds and cell complexes (57-XX)
83 Combinatorics (05-XX)
73 Partial differential equations (35-XX)
71 Dynamical systems and ergodic theory (37-XX)
71 Relativity and gravitational theory (83-XX)
70 Commutative algebra (13-XX)
67 Number theory (11-XX)
65 Several complex variables and analytic spaces (32-XX)
36 Statistical mechanics, structure of matter (82-XX)
33 Measure and integration (28-XX)
31 Abstract harmonic analysis (43-XX)
30 Probability theory and stochastic processes (60-XX)
28 Functions of a complex variable (30-XX)
26 Geometry (51-XX)
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23 Linear and multilinear algebra; matrix theory (15-XX)
21 Order, lattices, ordered algebraic structures (06-XX)
18 Mathematical logic and foundations (03-XX)
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16 Potential theory (31-XX)
16 Mechanics of particles and systems (70-XX)
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11 Convex and discrete geometry (52-XX)
9 Computer science (68-XX)
8 General and overarching topics; collections (00-XX)
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3 History and biography (01-XX)
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2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Approximations and expansions (41-XX)
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