van Nuland, Teun; Sukochev, Fedor; Zanin, Dmitriy Local invariants of conformally deformed non-commutative tori II: multiple operator integrals. (English) Zbl 07962975 J. Funct. Anal. 288, No. 4, Article ID 110754, 42 p. (2025). MSC: 46L87 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barrett, John W.; Gaunt, James Finite spectral triples for the fuzzy torus. (English) Zbl 07960176 J. Geom. Phys. 207, Article ID 105345, 31 p. (2025). MSC: 53-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Zheng; Li, Chuanzhong On noncommutative modified KP systems. (English. Russian original) Zbl 07967518 Theor. Math. Phys. 221, No. 2, 1882-1900 (2024); translation from Teor. Mat. Fiz. 221, No. 2, 331-352 (2024). MSC: 37K10 37K30 46L87 46L55 × Cite Format Result Cite Review PDF Full Text: DOI
Hounkonnou, M. N.; Melong, F. Geometry and probability on the noncommutative 2-torus in a magnetic field. (English. Russian original) Zbl 1548.81139 Theor. Math. Phys. 220, No. 2, 1385-1401 (2024); translation from Teor. Mat. Fiz. 220, No. 2, 377-395 (2024). MSC: 81R60 81S25 46L87 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neira Jiménez, Carolina Pseudodifferential operators on noncommutative tori: a survey. (English) Zbl 07919690 Matematica 3, No. 3, 1218-1252 (2024). Reviewer: Igor V. Nikolaev (New York) MSC: 58B34 58J40 53D55 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Hao; Proietti, Valerio; Wang, Hang A geometric Elliott invariant and noncommutative rigidity of mapping tori. (English) Zbl 07919650 J. Funct. Anal. 287, No. 11, Article ID 110625, 41 p. (2024). MSC: 37B02 37A55 46L85 46L55 58K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lira-Torres, E.; Majid, S. Geometric Dirac operator on noncommutative torus and \(M_2(\mathbb{C})\). (English) Zbl 07870838 Lett. Math. Phys. 114, No. 3, Paper No. 70, 41 p. (2024). MSC: 46L87 58B34 83C65 58B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nikolaev, Igor V. Arithmetic complexity revisited. (English) Zbl 1532.11075 J. Anal. 31, No. 3, 2115-2126 (2023). MSC: 11G05 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Sayan Tracing projective modules over noncommutative orbifolds. (English) Zbl 1533.46053 J. Noncommut. Geom. 17, No. 2, 385-406 (2023). MSC: 46L89 46L55 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Chengcheng; Majid, Shahn Quantum geodesics on quantum Minkowski spacetime. (English) Zbl 1518.83097 J. Phys. A, Math. Theor. 55, No. 42, Article ID 424003, 35 p. (2022). MSC: 83F05 83C45 53C22 83C65 51B20 14M25 83C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Landi, Giovanni; Rajeev, S. G. Lie bi-algebras on the non-commutative torus. (English) Zbl 1520.17030 J. Phys. A, Math. Theor. 55, No. 39, Article ID 395201, 27 p. (2022). MSC: 17B62 17B63 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciolli, Fabio; Fidaleo, Francesco Modular spectral triples and deformed Fredholm modules. (English) Zbl 1497.58006 Ann. Funct. Anal. 13, No. 4, Paper No. 67, 31 p. (2022). MSC: 58B34 46L36 22D25 46L65 46L30 46L87 37A55 37E10 46L80 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lai, Xudong Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori. (English) Zbl 1494.46069 Commun. Math. Phys. 390, No. 1, 193-230 (2022). MSC: 46L89 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Afsar, Zahra; Laca, Marcelo; Ramagge, Jacqui; Sehnem, Camila F. Equilibrium on Toeplitz extensions of higher dimensional noncommutative tori. (English) Zbl 1493.46084 J. Math. Anal. Appl. 509, No. 2, Article ID 125984, 31 p. (2022). MSC: 46L55 46L85 47L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Meiyan; Li, Chuanzhong Additional symmetries of the dispersionless extended noncommutative Gelfand-Dickey hierarchy. (English) Zbl 07830859 Int. J. Geom. Methods Mod. Phys. 18, No. 9, Article ID 2150145, 40 p. (2021). MSC: 37K05 37K10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Dabrowski, Ludwik; Jakobsen, Mads S.; Landi, Giovanni; Luef, Franz Solitons of general topological charge over noncommutative tori. (English) Zbl 1523.42042 Rev. Math. Phys. 33, No. 4, Article ID 2150009, 30 p. (2021). MSC: 42C15 58B34 46L85 35C08 42B35 22D25 43A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kartal, Yusuf Barış Dynamical invariants of mapping torus categories. (English) Zbl 1490.14028 Adv. Math. 389, Article ID 107882, 95 p. (2021). Reviewer: Dahye Cho (Stony Brook) MSC: 14F08 14J33 18G80 53D37 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Del Vecchio, Simone; Fidaleo, Francesco; Rossi, Stefano Skew-product dynamical systems for crossed product \(C^\ast \)-algebras and their ergodic properties. (English) Zbl 1480.46082 J. Math. Anal. Appl. 503, No. 1, Article ID 125302, 34 p. (2021). MSC: 46L55 37A30 37A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nikolaev, Igor V. Sklyanin algebras revisited. (English) Zbl 1493.14004 Bol. Soc. Mat. Mex., III. Ser. 27, No. 1, Paper No. 1, 7 p. (2021). MSC: 14A22 14H52 16R10 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Del Vecchio, Simone; Fidaleo, Francesco; Giorgetti, Luca; Rossi, Stefano Ergodic properties of the Anzai skew-product for the non-commutative torus. (English) Zbl 1473.37013 Ergodic Theory Dyn. Syst. 41, No. 4, 1064-1085 (2021). Reviewer: Isamu Dôku (Saitama) MSC: 37A55 37A25 37A30 46L55 46L65 46L85 58J51 58B34 81R60 81T75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jakobsen, Mads S.; Luef, Franz Duality of Gabor frames and Heisenberg modules. (English) Zbl 1481.46055 J. Noncommut. Geom. 14, No. 4, 1445-1500 (2020). MSC: 46L08 58B34 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duwenig, Anna; Emerson, Heath Transversals, duality, and irrational rotation. (English) Zbl 1461.19004 Trans. Am. Math. Soc., Ser. B 7, 254-289 (2020). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 58B34 46L08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rezaei, A. A. On the noncommutative mapping torus and related structures. (English) Zbl 1521.46039 Acta Math. Univ. Comen., New Ser. 89, No. 1, 53-60 (2020). MSC: 46L85 58B34 46L80 × Cite Format Result Cite Review PDF Full Text: Link
Chakraborty, Sayan Some remarks on \(K_0\) of noncommutative tori. (English) Zbl 1450.46055 Math. Scand. 126, No. 2, 387-400 (2020). Reviewer: Prahlad Vaidyanathan (Bhopal) MSC: 46L87 46L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Rui; Ghorbanpour, Asghar; Khalkhali, Masoud The Ricci curvature for noncommutative three tori. (English) Zbl 1443.58015 J. Geom. Phys. 154, Article ID 103717, 24 p. (2020). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58J42 58J35 53C20 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fischer, Véronique Local and global symbols on compact Lie groups. (English) Zbl 1440.58011 J. Pseudo-Differ. Oper. Appl. 11, No. 1, 229-265 (2020). Reviewer: Salvatore Ivan Trapasso (Torino) MSC: 58J40 43A77 58J42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chirvasitu, Alexandru Topological generation results for free unitary and orthogonal groups. (English) Zbl 1516.20116 Int. J. Math. 31, No. 1, Article ID 2050003, 13 p. (2020). MSC: 20G42 16T20 46L52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mathai, Varghese; Rosenberg, Jonathan The Riemann-Roch theorem on higher dimensional complex noncommutative tori. (English) Zbl 1454.46076 J. Geom. Phys. 147, Article ID 103534, 9 p. (2020). MSC: 46L87 19L10 58B34 58J42 53C55 57R20 14K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Golipour, Javad A note on noncommutative Einstein-Hilbert action. (English) Zbl 07805037 Int. J. Geom. Methods Mod. Phys. 16, No. 11, Article ID 1950166, 14 p. (2019). MSC: 46L87 58B34 46L08 × Cite Format Result Cite Review PDF Full Text: DOI
Lesch, Matthias; Moscovici, Henri Modular Gaussian curvature. (English) Zbl 1443.58008 Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer. 463-490 (2019). Reviewer: Iakovos Androulidakis (Athína) MSC: 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Zhuofeng Certain actions of finite abelian groups on higher dimensional noncommutative tori. (English) Zbl 1443.46043 Münster J. Math. 12, No. 2, 473-495 (2019). MSC: 46L55 46L85 46L80 × Cite Format Result Cite Review PDF Full Text: DOI
Connes, Alain; Fathizadeh, Farzad The term \(a_4\) in the heat kernel expansion of noncommutative tori. (English) Zbl 1433.58008 Münster J. Math. 12, No. 2, 239-410 (2019). MSC: 58B34 58J35 × Cite Format Result Cite Review PDF Full Text: arXiv
Nikolaev, Igor On a Poisson summation formula for noncommutative tori. (English) Zbl 1459.11127 Complex Anal. Oper. Theory 13, No. 7, 3117-3125 (2019). MSC: 11F72 46L85 42A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McDonald, Edward; Sukochev, Fedor; Xiong, Xiao Quantum differentiability on quantum tori. (English) Zbl 1446.46051 Commun. Math. Phys. 371, No. 3, 1231-1260 (2019). Reviewer: Satyajit Guin (Kanpur) MSC: 46L85 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Díaz García, Fredy; Wagner, Elmar Dirac operator on a noncommutative Toeplitz torus. (English) Zbl 1431.58004 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 103-109 (2019). Reviewer: Tatsuki Seto (Tokyo) MSC: 58B34 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fidaleo, Francesco Fourier analysis for type III representations of the noncommutative torus. (English) Zbl 1428.43012 J. Fourier Anal. Appl. 25, No. 5, 2801-2835 (2019). Reviewer: Yong Wang (Changchun) MSC: 43A99 46L36 46L51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jakobsen, Mads S.; Luef, Franz Sampling and periodization of generators of Heisenberg modules. (English) Zbl 1439.46044 Int. J. Math. 30, No. 10, Article ID 1950051, 37 p. (2019). MSC: 46L08 42C15 46L87 46L07 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Sayan; Luef, Franz Metaplectic transformations and finite group actions on noncommutative tori. (English) Zbl 1449.46056 J. Oper. Theory 82, No. 1, 147-172 (2019). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L55 22D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carotenuto, Alessandro; Dąbrowski, Ludwik Spin geometry of the rational noncommutative torus. (English) Zbl 1436.46058 J. Geom. Phys. 144, 28-42 (2019). Reviewer: Veronique Fischer (Bath) MSC: 46L85 58J42 46L87 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xia, Runlian; Xiong, Xiao Mapping properties of operator-valued pseudo-differential operators. (English) Zbl 1475.46053 J. Funct. Anal. 277, No. 9, 2918-2980 (2019). Reviewer: Stefan Neuwirth (Besançon) MSC: 46L52 42B30 46L07 47G30 46L87 46E40 47A56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Floricel, Remus; Ghorbanpour, Asghar; Khalkhali, Masoud The Ricci curvature in noncommutative geometry. (English) Zbl 1417.58003 J. Noncommut. Geom. 13, No. 1, 269-296 (2019). Reviewer: Yong Wang (Changchun) MSC: 58B34 53B20 46L87 58J42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nikolaev, I. V. On tea, donuts and non-commutative geometry. (English) Zbl 1413.14001 Surv. Math. Appl. 13, 95-105 (2018). MSC: 14A22 14H52 46L85 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Eckhardt, Caleb; Raum, Sven \({C}^{\ast}\)-superrigidity of 2-step nilpotent groups. (English) Zbl 1405.46045 Adv. Math. 338, 175-195 (2018). MSC: 46L35 46L05 20C07 20F18 22D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walters, S. Semiflat orbifold projections. (English) Zbl 1411.46049 Houston J. Math. 44, No. 2, 645-663 (2018). Reviewer: Takahiro Sudo (Nishihara) MSC: 46L80 46L35 46L40 46L55 46L85 55N15 × Cite Format Result Cite Review PDF Full Text: arXiv
Huang, Leonard Metrized quantum vector bundles over quantum tori built from Riemannian metrics and Rosenberg’s Levi-Civita connections. (English) Zbl 1404.46064 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 079, 21 p. (2018). MSC: 46L87 58B34 46L08 46L57 37A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Hyun Ho On a gauge action on sigma model solitons. (English) Zbl 1395.58009 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 2, Article ID 1850008, 15 p. (2018). MSC: 58B34 58B20 35C08 58J05 42B35 81T75 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banacki, Michał; Marciniak, Marcin Multiple noncommutative tori as quantum symmetry groups. (English) Zbl 1436.46052 J. Geom. Phys. 131, 1-22 (2018). MSC: 46L67 46L85 46L55 16T05 58B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakraborty, Partha Sarathi; Saurabh, Bipul Local index formula for quantum double suspension. (English) Zbl 1406.46057 Integral Equations Oper. Theory 90, No. 2, Paper No. 21, 29 p. (2018). Reviewer: Valerio Proietti (København) MSC: 46L87 58B34 19K56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iochum, B.; Masson, T. Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori. (English) Zbl 1390.58016 J. Geom. Phys. 129, 1-24 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 58J37 58J35 35J47 81T13 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Huang, Leonard T. Generalized fixed-point algebras for twisted \(C^\ast\)-dynamical systems. (English) Zbl 1397.46042 J. Math. Anal. Appl. 463, No. 2, 534-575 (2018). MSC: 46L08 46L55 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Craw, Alastair; Green, James Reconstructing toric quiver flag varieties from a tilting bundle. (English) Zbl 1398.14004 Eur. J. Math. 4, No. 1, 185-199 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 14M25 16G20 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Junge, Marius; Rezvani, Sepideh; Zeng, Qiang Harmonic analysis approach to Gromov-Hausdorff convergence for noncommutative tori. (English) Zbl 1410.46052 Commun. Math. Phys. 358, No. 3, 919-994 (2018). Reviewer: Botao Long (Shanghai) MSC: 46L87 58B34 43A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fathi, Ali; Ghorbanpour, Asghar; Khalkhali, Masoud Curvature of the determinant line bundle for the noncommutative two torus. (English) Zbl 1413.46063 Math. Phys. Anal. Geom. 20, No. 2, Paper No. 4, 20 p. (2017). MSC: 46L87 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Launois, S.; Lenagan, T. H. From totally nonnegative matrices to quantum matrices and back, via Poisson geometry. (English) Zbl 1385.16024 Callegaro, Filippo (ed.) et al., Perspectives in Lie theory. Selected papers based on the presentations at the INdAM intensive research period, Pisa, Italy, December 2014 – February 2015. Cham: Springer (ISBN 978-3-319-58970-1/hbk; 978-3-319-58971-8/ebook). Springer INdAM Series 19, 443-461 (2017). MSC: 16S38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Quddus, Safdar Cohomology of \(\mathcal{A}_\theta^{\mathrm{alg}}\rtimes\mathbb{Z}_2\) and its Chern-Connes pairing. (English) Zbl 1381.58002 J. Noncommut. Geom. 11, No. 3, 827-843 (2017). Reviewer: Tatsuki Seto (Nagoya) MSC: 58B34 18G60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barnes, Gwendolyn E.; Schenkel, Alexander; Szabo, Richard J. Mapping spaces and automorphism groups of toric noncommutative spaces. (English) Zbl 1375.16014 Lett. Math. Phys. 107, No. 9, 1591-1628 (2017). MSC: 16T05 18F20 53D55 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Quddus, Safdar Cyclic cohomology and Chern-Connes pairing of some crossed product algebras. (English) Zbl 1456.58008 J. Algebra 481, 120-157 (2017). MSC: 58B34 16G60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gröchenig, Karlheinz; Leinert, Michael Inverse-closed Banach subalgebras of higher-dimensional non-commutative tori. (English) Zbl 1364.46043 Stud. Math. 234, No. 1, 49-58 (2016). MSC: 46H05 46L85 22E25 43A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Gupta, Ashish The Krull and global dimension of the tensor product of quantum tori. (English) Zbl 1354.16028 J. Algebra Appl. 15, No. 9, Article ID 1650174, 19 p. (2016). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S35 16S38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belmans, Pieter; De Laet, Kevin; Le Bruyn, Lieven The point variety of quantum polynomial rings. (English) Zbl 1378.16035 J. Algebra 463, 10-22 (2016). MSC: 16S38 14A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Hyun Ho A note on nonlinear \(\sigma\)-models in noncommutative geometry. (English) Zbl 1346.58003 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 1, Article ID 1650006, 15 p. (2016). Reviewer: Vida Milani (North Logan) MSC: 58B34 46L60 46L87 58B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Andrea, Francesco; Franco, Davide Non-associative geometry of quantum tori. (English) Zbl 1335.58004 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 015, 14 p. (2016). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 58B34 46L87 53D55 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Quddus, Safdar Hochschild and cyclic homology of the crossed product of algebraic irrational rotational algebra by finite subgroups of \({SL}(2,\mathbb{Z})\). (English) Zbl 1334.46057 J. Algebra 447, 322-366 (2016). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 46L85 19D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Latrémolière, Frédéric Curved noncommutative tori as Leibniz quantum compact metric spaces. (English) Zbl 1346.14007 J. Math. Phys. 56, No. 12, 123503, 16 p. (2015). Reviewer: Sergey Ludkovsky (Moskva) MSC: 14A22 14M25 54E45 81R60 15A09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azzali, Sara; Lévy, Cyril; Neira-Jiménez, Carolina; Paycha, Sylvie Traces of holomorphic families of operators on the noncommutative torus and on Hilbert modules. (English) Zbl 1339.58013 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-18211-7/hbk; 978-3-319-18212-4/ebook). Trends in Mathematics, 3-38 (2015). Reviewer: Yong Wang (Changchun) MSC: 58J40 58J42 35K08 58B34 19K56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dabrowski, Ludwik; Landi, Giovanni; Luef, Franz Sigma-model solitons on noncommutative spaces. (English) Zbl 1336.46060 Lett. Math. Phys. 105, No. 12, 1663-1688 (2015). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 46L85 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dąbrowski, Ludwik; Sitarz, Andrzej An asymmetric noncommutative torus. (English) Zbl 1328.58005 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 075, 11 p. (2015). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 58B34 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
Omland, Tron Ånen \(C^*\)-algebras generated by projective representations of free nilpotent groups. (English) Zbl 1389.46056 J. Oper. Theory 73, No. 1, 3-25 (2015). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46L05 20C25 20F18 20J06 22D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mathai, Varghese; Sati, Hisham Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality. (English) Zbl 1316.81078 J. Geom. Phys. 92, 240-251 (2015). MSC: 81T30 81T70 81T75 53D55 83E30 83F05 70S15 81T13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belton, Alexander C. R.; Wills, Stephen J. An algebraic construction of quantum flows with unbounded generators. (English. French summary) Zbl 1309.81121 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 1, 349-375 (2015). MSC: 81S25 46L53 46N50 47D06 60J27 46L60 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Jeong, Ja A.; Lee, Jae Hyup Finite groups acting on higher dimensional noncommutative tori. (English) Zbl 1326.46052 J. Funct. Anal. 268, No. 2, 473-499 (2015). MSC: 46L55 46L35 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kajiura, Hiroshige On some deformations of Fukaya categories. (English) Zbl 1341.53118 Eguchi, Tohru (ed.) et al., Symplectic, Poisson, and noncommutative geometry. Selected papers based on the presentations at the conferences: conference on symplectic and Poisson geometry in interaction with analysis, algebra and topology, Berkeley, CA, USA, May 4–7, 2010, conference on symplectic geometry, noncommutative geometry and physics, Berkeley, CA, USA, May 10–14, 2010 and Kyoto, Japan, November 1–5, 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-05641-1/hbk). Mathematical Sciences Research Institute Publications 62, 93-130 (2014). Reviewer: James Pascaleff (Urbana) MSC: 53D37 53D55 × Cite Format Result Cite Review PDF
Sitarz, Andrzej Gravity, non-commutative geometry, and the Wodzicki residue. (English) Zbl 1323.58005 J. Pseudo-Differ. Oper. Appl. 5, No. 3, 305-317 (2014). Reviewer: Iakovos Androulidakis (Athína) MSC: 58B34 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anzola Kibamba, Nestor; Bieliavsky, Pierre Bargmann-Fock realization of the noncommutative torus. (English) Zbl 1319.22005 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Cham: Birkhäuser/Springer (ISBN 978-3-319-06247-1/hbk; 978-3-319-06248-8/ebook). Trends in Mathematics, 39-48 (2014). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E27 53D35 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Andrea, Francesco; Fiore, Gaetano; Franco, Davide Modules over the noncommutative torus and elliptic curves. (English) Zbl 1309.46039 Lett. Math. Phys. 104, No. 11, 1425-1443 (2014). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 46L85 32G15 14H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khalkhali, Masoud; Moatadelro, Ali A Riemann-Roch theorem for the noncommutative two torus. (English) Zbl 1348.14025 J. Geom. Phys. 86, 19-30 (2014). Reviewer: Sergey Ludkovsky (Moskva) MSC: 14C40 14A22 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fakhari, Abbas; Lee, Seunghee; Tajbakhsh, Khosro Hyperbolicity of chain transitive sets with limit shadowing. (English) Zbl 1304.58006 Bull. Korean Math. Soc. 51, No. 5, 1259-1267 (2014). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58B34 58J42 81T75 × Cite Format Result Cite Review PDF Full Text: DOI
Arnlind, Joakim Curvature and geometric modules of noncommutative spheres and tori. (English) Zbl 1303.53097 J. Math. Phys. 55, No. 4, 041705, 12 p. (2014). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 14A22 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eckstein, Michał On projections in the noncommutative 2-torus algebra. (English) Zbl 1298.46062 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 029, 14 p. (2014). MSC: 46L87 46L80 19A13 19K14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
Duvenhage, Rocco Noncommutative Ricci flow in a matrix geometry. (English) Zbl 1288.53057 J. Phys. A, Math. Theor. 47, No. 4, Article ID 045203, 13 p. (2014). Reviewer: Igor V. Nikolaev (Southbridge) MSC: 53C44 46L85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yakimov, Milen A proof of the Goodearl-Lenagan polynormality conjecture. (English) Zbl 1322.16023 Int. Math. Res. Not. 2013, No. 9, 2097-2132 (2013). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16T20 16D25 17B37 16S15 16S38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosenberg, Jonathan Levi-Civita’s theorem for noncommutative tori. (English) Zbl 1291.46068 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 071, 9 p. (2013). MSC: 46L87 58B34 46L08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
Dąbrowski, Ludwik; Sitarz, Andrzej Curved noncommutative torus and Gauss-Bonnet. (English) Zbl 1285.58014 J. Math. Phys. 54, No. 1, 013518, 11 p. (2013). MSC: 58J52 58J37 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Venselaar, Jan Jitse Classification of spin structures on the noncommutative \(n\)-torus. (English) Zbl 1281.58004 J. Noncommut. Geom. 7, No. 3, 787-816 (2013). Reviewer: Igor V. Nikolaev (Southbridge) MSC: 58B34 46L87 46L85 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Zeqian; Xu, Quanhua; Yin, Zhi Harmonic analysis on quantum tori. (English) Zbl 1278.46056 Commun. Math. Phys. 322, No. 3, 755-805 (2013). MSC: 46L65 42B05 42B20 42B25 42B30 46L52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weber, Moritz On \(C^\ast\)-algebras generated by isometries with twisted commutation relations. (English) Zbl 1275.46042 J. Funct. Anal. 264, No. 8, 1975-2004 (2013). MSC: 46L05 46L80 47L80 × Cite Format Result Cite Review PDF Full Text: DOI
Dąbrowski, Ludwik; Sitarz, Andrzej Noncommutative circle bundles and new Dirac operators. (English) Zbl 1271.58005 Commun. Math. Phys. 318, No. 1, 111-130 (2013). Reviewer: Choonkil Park (Daejeon) MSC: 58B34 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pfante, Oliver Chern-Simons theory for the noncommutative three-torus \(C^\infty (\mathbb T^3_{\Theta})\). (English) Zbl 1260.58015 J. Geom. Phys. 63, 32-44 (2013). MSC: 58J28 58J42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Zeqian; Yin, Zhi Littlewood-Paley theorem and multipliers on the quantum torus. (English) Zbl 1274.46123 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 3, 1255-1261 (2012). MSC: 46L53 46L52 × Cite Format Result Cite Review PDF Full Text: DOI
Allman, Justin M.; Grabowski, Jan E. A quantum analogue of the dihedral action on Grassmannians. (English) Zbl 1272.16034 J. Algebra 359, 49-68 (2012). Reviewer: Kenneth R. Goodearl (Santa Barbara) MSC: 16T20 16S38 17B37 16D25 14L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fathizadeh, Farzad; Khalkhali, Masoud The Gauss-Bonnet theorem for noncommutative two tori with a general conformal structure. (English) Zbl 1256.58002 J. Noncommut. Geom. 6, No. 3, 457-480 (2012). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 58J42 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elliott, George A.; Niu, Zhuang Extended rotation algebras: adjoining spectral projections to rotation algebras. (English) Zbl 1284.46048 J. Reine Angew. Math. 665, 1-71 (2012). Reviewer: Aaron Tikuisis (Münster) MSC: 46L35 46L80 46L85 47L40 × Cite Format Result Cite Review PDF Full Text: DOI
Fathizadeh, Farzad; Wong, M. W. Noncommutative residues for pseudo-differential operators on the noncommutative two-torus. (English) Zbl 1266.58010 J. Pseudo-Differ. Oper. Appl. 2, No. 3, 289-302 (2011). Reviewer: Magnus Goffeng (Hannover) MSC: 58J42 58J40 × Cite Format Result Cite Review PDF Full Text: DOI
Connes, Alain; Tretkoff, Paula The Gauss-Bonnet theorem for the noncommutative two torus. (English) Zbl 1251.46037 Consani, Caterina (ed.) et al., Noncommutative geometry, arithmetic, and related topics. Proceedings of the 21st meeting of the Japan-U.S. Mathematics Institute (JAMI) held at Johns Hopkins University, Baltimore, MD, USA, March 23–26, 2009. Baltimore, MD: Johns Hopkins University Press (ISBN 978-1-4214-0352-6/hbk). 141-158 (2011). Reviewer: Igor V. Nikolaev (Ottawa) MSC: 46L85 × Cite Format Result Cite Review PDF Full Text: arXiv
Chen, Zeqian; Yin, Zhi Analytic Hardy spaces on the quantum torus. (English) Zbl 1249.46051 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 5, 1985-1996 (2011). MSC: 46L52 46J15 × Cite Format Result Cite Review PDF Full Text: DOI
Pfante, Oliver Noncommutative Chern-Simons theory. (Nichtkommutative Chern-Simons Theorie.) (English) Zbl 1241.58002 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). 92 p. (2011). MSC: 58-02 58J28 58J42 81R15 81T45 81R60 81Q30 58D30 × Cite Format Result Cite Review PDF
Goodearl, K. R.; Launois, S.; Lenagan, T. H. Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves. (English) Zbl 1234.16018 Math. Z. 269, No. 1-2, 29-45 (2011). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S38 16T20 16D25 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gurevich, Shamgar; Hadani, Ronny Proof of the Kurlberg-Rudnick rate conjecture. (English) Zbl 1293.58013 Ann. Math. (2) 174, No. 1, 1-54 (2011). MSC: 58J51 14F05 14F17 37D20 58B34 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI
Mathai, Varghese; Rosenberg, Jonathan A noncommutative sigma-model. (English) Zbl 1260.58004 J. Noncommut. Geom. 5, No. 2, 265-294 (2011). MSC: 58B34 46L60 46L87 58E20 81T30 81T75 83E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banica, Teodor; Vergnioux, Roland Invariants of the half-liberated orthogonal group. (English) Zbl 1277.46040 Ann. Inst. Fourier 60, No. 6, 2137-2164 (2010). MSC: 46L89 46L65 16T20 17B22 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML