Edit Profile (opens in new tab) Robert, Leonel Co-Author Distance Author ID: robert.leonel Published as: Robert, Leonel; Robert, L. Documents Indexed: 43 Publications since 1998, including 1 Book and 4 Additional arXiv Preprints Co-Authors: 33 Co-Authors with 28 Joint Publications 454 Co-Co-Authors all top 5 Co-Authors 14 single-authored 6 Santiago, Luis 6 Tikuisis, Aaron Peter 3 Antoine, Ramon 3 Archbold, Robert J. 3 Ng, Ping Wong 3 Perera, Francesc 3 Thiel, Hannes 2 Chand, Abhinav 2 Richard, Logan 2 Winter, Wilhelm 1 Blackadar, Bruce E. 1 Ciuperca, Alin 1 Elliott, George A. 1 Farah, Ilijas 1 Gogić, Ilja 1 Hart, Bradd T. 1 Hernández, Janko 1 Kulp, Isaac 1 Lupini, Martino 1 Malandain, Grégoire 1 Moodie, Mark 1 Ochanine, Charlotte 1 Pujals, Enrique Ramiro 1 Riepl, Franziska 1 Rørdam, Mikael 1 Shub, Michael 1 Skoufranis, Paul 1 Sutradhar, Arindam 1 Takoutsing, Lionel Fogang 1 Toms, Andrew S. 1 Turcu, George 1 Vignati, Alessandro 1 Walls, Lucas 1 Whitman, Scott all top 5 Serials 4 Journal of Operator Theory 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 2 Advances in Mathematics 2 Indiana University Mathematics Journal 2 Journal of Approximation Theory 2 Mathematica Scandinavica 2 Proceedings of the London Mathematical Society. Third Series 2 Münster Journal of Mathematics 1 American Mathematical Monthly 1 Houston Journal of Mathematics 1 Linear and Multilinear Algebra 1 American Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Ergodic Theory and Dynamical Systems 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computer Vision and Image Understanding 1 Documenta Mathematica 1 Operators and Matrices all top 5 Fields 32 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 \(K\)-theory (19-XX) 2 Associative rings and algebras (16-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 344 times in 163 Documents Cited by ▼ Year ▼ The cone of lower semicontinuous traces on a C\(^{\ast}\)-algebra. Zbl 1236.46052 Elliott, George A.; Robert, Leonel; Santiago, Luis 53 2011 Classification of inductive limits of 1-dimensional NCCW complexes. Zbl 1268.46041 Robert, Leonel 44 2012 Model theory of \(C^*\)-algebras. Zbl 1484.46001 Farah, Ilijas; Hart, Bradd; Lupini, Martino; Robert, L.; Tikuisis, Aaron; Vignati, Alessandro; Winter, Wilhelm 23 2021 An algebraic approach to the radius of comparison. Zbl 1279.46038 Blackadar, Bruce; Robert, Leonel; Tikuisis, Aaron P.; Toms, Andrew S.; Winter, Wilhelm 21 2012 Classification of \(C^{*}\)-homomorphisms from \(C_{0}(0,1]\) to a \(C^{*}\)-algebra. Zbl 1192.46057 Robert, Leonel; Santiago, Luis 20 2010 The cone of functionals on the Cuntz semigroup. Zbl 1286.46061 Robert, Leonel 19 2013 \(C^*\)-algebras of stable rank one and their Cuntz semigroups. Zbl 1490.19005 Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes 16 2022 The Cuntz semigroup of ideals and quotients and a generalized Kasparov stabilization theorem. Zbl 1212.46084 Ciuperca, Alin; Robert, Leonel; Santiago, Luis 15 2010 Remarks on \(\mathcal{Z}\)-stable projectionless \(C^\ast\)-algebras. Zbl 1356.46046 Robert, Leonel 13 2016 Nuclear dimension and \(n\)-comparison. Zbl 1248.46040 Robert, Leonel 12 2011 Sums of commutators in pure \(C^*\)-algebras. Zbl 1365.46049 Ng, Ping Wong; Robert, Leonel 11 2016 Nuclear dimension and \(\mathcal {Z}\)-stability of non-simple \(C^\ast\)-algebras. Zbl 1373.46057 Robert, Leonel; Tikuisis, Aaron 11 2017 Divisibility properties for \(C^{\ast}\)-algebras. Zbl 1339.46051 Robert, Leonel; Rørdam, Mikael 10 2013 On the Lie ideals of \(C^\ast\)-algebras. Zbl 1389.46058 Robert, Leonel 9 2016 The Dixmier property and tracial states for \(C^\ast\)-algebras. Zbl 1373.81238 Archbold, Robert; Robert, Leonel; Tikuisis, Aaron 8 2017 Nuclear dimension and sums of commutators. Zbl 1344.46040 Robert, Leonel 8 2015 The Cuntz semigroup of some spaces of dimension at most two. Zbl 1295.46045 Robert, Leonel 8 2013 Edwards’ condition for quasitraces on \(C^*\)-algebras. Zbl 1469.46039 Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes 6 2021 Hilbert C\(^*\)-modules over a commutative C\(^*\)-algebra. Zbl 1218.46035 Robert, Leonel; Tikuisis, Aaron 5 2011 On the comparison of positive elements of a \(C^*\)-algebra by lower semicontinuous traces. Zbl 1191.46047 Robert, Leonel 5 2009 The kernel of the determinant map on pure \(C^*\)-algebras. Zbl 1382.46044 Ng, Ping Wong; Robert, Leonel 5 2017 Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family. Zbl 1216.37013 Pujals, Enrique R.; Robert, Leonel; Shub, Michael 4 2006 Majorization in \(C^\ast\)-algebras. Zbl 1400.46043 Ng, Ping Wong; Robert, Leonel; Skoufranis, Paul 4 2018 A revised augmented Cuntz semigroup. Zbl 1485.46066 Robert, Leonel; Santiago, Luis 4 2021 Fast binary image processing using binary decision diagrams. Zbl 0909.68217 Robert, L.; Malandain, G. 3 1998 Finite sections method for Hessenberg matrices. Zbl 1053.47026 Robert, Leonel; Santiago, Luis 3 2003 Normal subgroups of invertibles and of unitaries in a \(C^\ast\)-algebra. Zbl 1441.46042 Robert, Leonel 3 2019 Figures of constant width on a chessboard. Zbl 1120.05300 Hernández, Janko; Robert, Leonel 1 2005 On a class of Sobolev scalar products in the polynomials. Zbl 1042.42018 Robert, Leonel; Santiago, Luis 1 2003 Simplicity, bounded normal generation, and automatic continuity of groups of unitaries. Zbl 1517.46034 Chand, Abhinav; Robert, Leonel 1 2023 Maximally unitarily mixed states on a \(C^*\)-algebra. Zbl 1449.46054 Archbold, Robert; Robert, Leonel; Tikuisis, Aaron 1 2018 Simplicity, bounded normal generation, and automatic continuity of groups of unitaries. Zbl 1517.46034 Chand, Abhinav; Robert, Leonel 1 2023 \(C^*\)-algebras of stable rank one and their Cuntz semigroups. Zbl 1490.19005 Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes 16 2022 Model theory of \(C^*\)-algebras. Zbl 1484.46001 Farah, Ilijas; Hart, Bradd; Lupini, Martino; Robert, L.; Tikuisis, Aaron; Vignati, Alessandro; Winter, Wilhelm 23 2021 Edwards’ condition for quasitraces on \(C^*\)-algebras. Zbl 1469.46039 Antoine, Ramon; Perera, Francesc; Robert, Leonel; Thiel, Hannes 6 2021 A revised augmented Cuntz semigroup. Zbl 1485.46066 Robert, Leonel; Santiago, Luis 4 2021 Normal subgroups of invertibles and of unitaries in a \(C^\ast\)-algebra. Zbl 1441.46042 Robert, Leonel 3 2019 Majorization in \(C^\ast\)-algebras. Zbl 1400.46043 Ng, Ping Wong; Robert, Leonel; Skoufranis, Paul 4 2018 Maximally unitarily mixed states on a \(C^*\)-algebra. Zbl 1449.46054 Archbold, Robert; Robert, Leonel; Tikuisis, Aaron 1 2018 Nuclear dimension and \(\mathcal {Z}\)-stability of non-simple \(C^\ast\)-algebras. Zbl 1373.46057 Robert, Leonel; Tikuisis, Aaron 11 2017 The Dixmier property and tracial states for \(C^\ast\)-algebras. Zbl 1373.81238 Archbold, Robert; Robert, Leonel; Tikuisis, Aaron 8 2017 The kernel of the determinant map on pure \(C^*\)-algebras. Zbl 1382.46044 Ng, Ping Wong; Robert, Leonel 5 2017 Remarks on \(\mathcal{Z}\)-stable projectionless \(C^\ast\)-algebras. Zbl 1356.46046 Robert, Leonel 13 2016 Sums of commutators in pure \(C^*\)-algebras. Zbl 1365.46049 Ng, Ping Wong; Robert, Leonel 11 2016 On the Lie ideals of \(C^\ast\)-algebras. Zbl 1389.46058 Robert, Leonel 9 2016 Nuclear dimension and sums of commutators. Zbl 1344.46040 Robert, Leonel 8 2015 The cone of functionals on the Cuntz semigroup. Zbl 1286.46061 Robert, Leonel 19 2013 Divisibility properties for \(C^{\ast}\)-algebras. Zbl 1339.46051 Robert, Leonel; Rørdam, Mikael 10 2013 The Cuntz semigroup of some spaces of dimension at most two. Zbl 1295.46045 Robert, Leonel 8 2013 Classification of inductive limits of 1-dimensional NCCW complexes. Zbl 1268.46041 Robert, Leonel 44 2012 An algebraic approach to the radius of comparison. Zbl 1279.46038 Blackadar, Bruce; Robert, Leonel; Tikuisis, Aaron P.; Toms, Andrew S.; Winter, Wilhelm 21 2012 The cone of lower semicontinuous traces on a C\(^{\ast}\)-algebra. Zbl 1236.46052 Elliott, George A.; Robert, Leonel; Santiago, Luis 53 2011 Nuclear dimension and \(n\)-comparison. Zbl 1248.46040 Robert, Leonel 12 2011 Hilbert C\(^*\)-modules over a commutative C\(^*\)-algebra. Zbl 1218.46035 Robert, Leonel; Tikuisis, Aaron 5 2011 Classification of \(C^{*}\)-homomorphisms from \(C_{0}(0,1]\) to a \(C^{*}\)-algebra. Zbl 1192.46057 Robert, Leonel; Santiago, Luis 20 2010 The Cuntz semigroup of ideals and quotients and a generalized Kasparov stabilization theorem. Zbl 1212.46084 Ciuperca, Alin; Robert, Leonel; Santiago, Luis 15 2010 On the comparison of positive elements of a \(C^*\)-algebra by lower semicontinuous traces. Zbl 1191.46047 Robert, Leonel 5 2009 Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family. Zbl 1216.37013 Pujals, Enrique R.; Robert, Leonel; Shub, Michael 4 2006 Figures of constant width on a chessboard. Zbl 1120.05300 Hernández, Janko; Robert, Leonel 1 2005 Finite sections method for Hessenberg matrices. Zbl 1053.47026 Robert, Leonel; Santiago, Luis 3 2003 On a class of Sobolev scalar products in the polynomials. Zbl 1042.42018 Robert, Leonel; Santiago, Luis 1 2003 Fast binary image processing using binary decision diagrams. Zbl 0909.68217 Robert, L.; Malandain, G. 3 1998 all cited Publications top 5 cited Publications all top 5 Cited by 135 Authors 17 Robert, Leonel 14 Thiel, Hannes 12 Lin, Huaxin 11 Tikuisis, Aaron Peter 11 Winter, Wilhelm 9 Antoine, Ramon 9 Farah, Ilijas 9 Perera, Francesc 7 Ng, Ping Wong 7 Santiago, Luis 6 Bosa, Joan 6 Elliott, George A. 6 Fan, Qingzhai 6 Gong, Guihua 5 Fang, Xiaochun 5 Jacelon, Bhishan 5 Rørdam, Mikael 5 Szabó, Gábor 5 Vilalta, Eduard 4 Cantier, Laurent 4 Castillejos, Jorge 4 Evington, Samuel 4 Gardella, Eusebio 4 Hart, Bradd T. 4 Lupini, Martino 4 Niu, Zhuang 4 Vignati, Alessandro 4 White, Stuart Andrew 3 Goldbring, Isaac 3 Toms, Andrew S. 3 Zacharias, Joachim 2 Asadi-Vasfi, M. Ali 2 Bandtlow, Oscar F. 2 Bassi, Jacopo 2 Bikchentaev, Aĭrat Midkhatovich 2 Brešar, Matej 2 Chand, Abhinav 2 Christensen, Martin S. 2 Daws, Matthew 2 Dean, Andrew J. 2 Gabe, James 2 Hirshberg, Ilan 2 Horváth, Bence 2 Jain, Ranjana 2 Keimel, Klaus 2 Kucerovsky, Dan Z. 2 Lee, Tsiu-Kwen 2 Nawata, Norio 2 Petzka, Henning 2 Phillips, N. Christopher 2 Robin, Tracy 2 Ruiz, Efren 2 Sato, Yasuhiko 2 Sinclair, Thomas 2 Strung, Karen R. 2 Talwar, Bharat 2 Tornetta, Gabriele Nunzio 2 Wu, Jianchao 2 Zhao, Xia 1 Amini, Massoud 1 An, Qingnan 1 Ando, Hiroshi 1 Archbold, Robert J. 1 Barlak, Selçuk 1 Bell, Jordan 1 Blackadar, Bruce E. 1 Brown, Nathanial P. 1 Calderón, Daniel 1 Cheong, Chi Weng 1 Chio, Ivan 1 Chlebovec, Christopher 1 Dadarlat, Marius 1 Decalo-Salgado, Laura 1 Doucha, Michal 1 Eagle, Christopher J. 1 Eilers, Søren 1 Fu, Xuanlong 1 Geffen, Shirly 1 Getz, Alan 1 Girón Pacheco, Sergio 1 Gogić, Ilja 1 Golestani, Nasser 1 Gowda, Muddappa Seetharama 1 Gupta, Ved Prakash 1 He, Caleb 1 Hu, Shanwen 1 Hua, Jiajie 1 Huang, Jinghao 1 Hung, Tsz Fun 1 Im, Jeffrey 1 Ivanescu, Cristian 1 Ji, Anthony L. 1 Jiang, Chunlan 1 Just, Wolfram 1 Kadets, Boris 1 Kalantar, Mehrdad 1 Kalashnyk, Vladyslav 1 Kirchberg, Eberhard 1 Kulkarni, Sudhir Hanmantrao 1 Li, Hanfeng ...and 35 more Authors all top 5 Cited in 68 Serials 18 Journal of Functional Analysis 11 Transactions of the American Mathematical Society 8 International Journal of Mathematics 6 Communications in Mathematical Physics 6 Advances in Mathematics 5 Studia Mathematica 5 Memoirs of the American Mathematical Society 5 Proceedings of the American Mathematical Society 5 Journal of Noncommutative Geometry 4 Journal of Mathematical Analysis and Applications 4 Canadian Journal of Mathematics 4 Glasgow Mathematical Journal 4 Inventiones Mathematicae 4 Mathematica Scandinavica 4 Ergodic Theory and Dynamical Systems 4 The New York Journal of Mathematics 4 Analysis & PDE 3 Forum Mathematicum 3 Acta Mathematica Sinica. English Series 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Geometry and Physics 2 Journal of Algebra 2 Linear Algebra and its Applications 2 Journal of Topology and Analysis 2 Annals of Functional Analysis 2 Forum of Mathematics, Sigma 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the Ramanujan Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Selecta Mathematica. New Series 1 The Bulletin of Symbolic Logic 1 Documenta Mathematica 1 Positivity 1 Soft Computing 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Algebra and its Applications 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Operators and Matrices 1 Banach Journal of Mathematical Analysis 1 Science China. Mathematics 1 Transactions of the London Mathematical Society 1 Annals of \(K\)-Theory 1 Transactions of the American Mathematical Society. Series B 1 Advances in Operator Theory all top 5 Cited in 30 Fields 145 Functional analysis (46-XX) 15 Mathematical logic and foundations (03-XX) 14 \(K\)-theory (19-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Operator theory (47-XX) 10 Topological groups, Lie groups (22-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Associative rings and algebras (16-XX) 8 General topology (54-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Abstract harmonic analysis (43-XX) 3 Category theory; homological algebra (18-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year