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Author ID: longo.roberto Recent zbMATH articles by "Longo, Roberto"
Published as: Longo, Roberto; Longo, R.
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Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 2,446 times in 810 Documents Cited by Year
Index of subfactors and statistics of quantum fields. I. Zbl 0682.46045
Longo, Roberto
116
1989
Standard and split inclusions of von Neumann algebras. Zbl 0539.46043
Doplicher, S.; Longo, R.
116
1984
Nets of subfactors. Zbl 0836.46055
Longo, R.; Rehren, K.-H.
106
1995
A theory of dimension. Zbl 0874.18005
Longo, R.; Roberts, J. E.
105
1997
Multi-interval subfactors and modularity of representations in conformal field theory. Zbl 1016.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Müger, Michael
89
2001
Modular structure and duality in conformal quantum field theory. Zbl 0809.46086
Brunetti, R.; Guido, D.; Longo, R.
83
1993
Modular structure of the local algebras associated with the free massless scalar field theory. Zbl 0491.46060
Hislop, Peter D.; Longo, Roberto
81
1982
A duality for Hopf algebras and for subfactors. I. Zbl 0802.46075
Longo, Roberto
78
1994
A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras. Zbl 0915.46051
Izumi, Masaki; Longo, Roberto; Popa, Sorin
72
1998
Classification of local conformal nets. Case \(c < 1\). Zbl 1083.46038
Kawahigashi, Yasuyuki; Longo, Roberto
70
2004
Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial. Zbl 0705.46038
Longo, Roberto
70
1990
The conformal spin and statistics theorem. Zbl 0858.46053
Guido, Daniele; Longo, Roberto
62
1996
Modular localization and Wigner particles. Zbl 1033.81063
Brunetti, R.; Guido, D.; Longo, R.
58
2002
Topological sectors and a dichotomy in conformal field theory. Zbl 1158.81345
Longo, Roberto; Xu, Feng
48
2004
Relativistic invariance and charge conjugation in quantum field theory. Zbl 0771.46039
Guido, Daniele; Longo, Roberto
46
1992
Extensions of conformal nets and superselection structures. Zbl 0993.46035
Guido, D.; Longo, R.; Wiesbrock, H.-W.
42
1998
Conformal subnets and intermediate subfactors. Zbl 1042.46035
Longo, Roberto
41
2003
On Noether’s theorem in quantum field theory. Zbl 0609.46037
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto
38
1986
Nuclear maps and modular structures. I: General properties. Zbl 0705.46033
Buchholz, Detlev; D’Antoni, Claudio; Longo, Roberto
38
1990
Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions. Zbl 0538.46045
Longo, R.
38
1984
Simple injective subfactors. Zbl 0616.46054
Longo, Roberto
37
1987
Interpolation by type I factors and the flip automorphism. Zbl 0535.46036
D’Antoni, Claudio; Longo, Roberto
37
1983
From vertex operator algebras to conformal nets and back. Zbl 1434.17001
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto; Weiner, Mihály
37
2018
Real Hilbert subspaces, modular theory, \(SL(2,\mathbb R)\) and CFT. Zbl 1199.81032
Longo, Roberto
34
2008
Nuclear maps and modular structures. II: Applications to quantum field theory. Zbl 0773.47007
Buchholz, Detlev; D’Antoni, Claudio; Longo, Roberto
33
1990
Classification of two-dimensional local conformal nets with \(c<1\) and 2-cohomology vanishing for tensor categories. Zbl 1043.81063
Kawahigashi, Yasuyuki; Longo, Roberto
32
2004
Charged sectors, spin and statistics in quantum field theory on curved spacetimes. Zbl 1029.81052
Guido, D.; Longo, R.; Roberts, J. E.; Verch, R.
32
2001
Tensor categories and endomorphisms of von Neumann algebras. With applications to quantum field theory. Zbl 1328.46047
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
32
2015
Local fields in boundary conformal QFT. Zbl 1078.81052
Longo, Roberto; Rehren, Karl-Henning
31
2004
An algebraic spin and statistics theorem. Zbl 0831.46081
Guido, Daniele; Longo, Roberto
30
1995
Solitons in affine and permutation orbifolds. Zbl 1078.81051
Kac, Victor G.; Longo, Roberto; Xu, Feng
30
2005
Minimal index and braided subfactors. Zbl 0798.46047
Longo, Roberto
29
1992
Local aspects of superselection rules. II. Zbl 0523.46046
Doplicher, Sergio; Longo, Roberto
27
1983
Notes for a quantum index theorem. Zbl 0992.81046
Longo, Roberto
25
2001
Convergence of local charges and continuity properties of \(W^*\)- inclusions. Zbl 0657.46045
Antoni, C. D.; Doplicher, S.; Fredenhagen, K.; Longo, R.
25
1987
Structure and classification of superconformal nets. Zbl 1154.81023
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
24
2008
An analogue of the Kac-Wakimoto formula and black hole conditional entropy. Zbl 0878.58068
Longo, Roberto
24
1997
Local conformal nets arising from framed vertex operator algebras. Zbl 1105.81052
Kawahigashi, Yasuyuki; Longo, Roberto
23
2006
A remark on the minimal index of subgfactors. Zbl 0791.46040
Kosaki, Hideki; Longo, Roberto
22
1992
An algebraic construction of boundary quantum field theory. Zbl 1214.81253
Longo, Roberto; Witten, Edward
22
2011
Algebraic and modular structure of von Neumann algebras of physics. Zbl 0504.46050
Longo, Roberto
20
1982
Group cohomology, modular theory and space-time symmetries. Zbl 0837.46058
Brunetti, R.; Guido, D.; Longo, R.
19
1995
Noncommutative topological dynamics and compact actions on \(C^*\)- algebras. Zbl 0556.46039
Longo, Roberto; Peligrad, Costel
19
1984
Relative entropy in CFT. Zbl 1398.81216
Longo, Roberto; Xu, Feng
19
2018
Comment on the Bekenstein bound. Zbl 1391.81122
Longo, Roberto; Xu, Feng
17
2018
Nuclearity and thermal states in conformal field theory. Zbl 1187.81193
Buchholz, Detlev; D’Antoni, Claudio; Longo, Roberto
17
2007
Entropy distribution of localised states. Zbl 1432.81009
Longo, Roberto
16
2020
Notes on algebraic invariants for non-commutative dynamical systems. Zbl 0421.46053
Longo, Roberto
16
1979
Noncommutative spectral invariants and black hole entropy. Zbl 1081.58018
Kawahigashi, Yasuyuki; Longo, Roberto
16
2005
Where infinite spin particles are localizable. Zbl 1345.81072
Longo, Roberto; Morinelli, Vincenzo; Rehren, Karl-Henning
16
2016
A new look at Goldstone’s theorem. Zbl 0784.46060
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
15
1992
A remark on quantum group actions and nuclearity. Zbl 1030.46091
Doplicher, S.; Longo, R.; Roberts, J. E.; Zsidó, L.
14
2002
Thermal states in conformal QFT. II. Zbl 1280.81115
Camassa, Paolo; Longo, Roberto; Tanimoto, Yoh; Weiner, Mihály
14
2012
Geometric modular action for disjoint intervals and boundary conformal field theory. Zbl 1190.81121
Longo, Roberto; Martinetti, Pierre; Rehren, Karl-Henning
14
2010
On Landauer’s principle and bound for infinite systems. Zbl 1401.81028
Longo, Roberto
14
2018
Conformal nets, maximal temperature and models from free probability. Zbl 0994.46022
D’Antoni, Claudio; Longo, Roberto; Rădulescu, Florin
12
2001
Automatic relative boundedness of derivations in \(C*\)-algebras. Zbl 0433.46055
Longo, Roberto
11
1979
Spectral triples and the super-Virasoro algebra. Zbl 1197.17015
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto
11
2010
Thermal states in conformal QFT. I. Zbl 1246.81317
Camassa, Paolo; Longo, Roberto; Tanimoto, Yoh; Weiner, Mihály
11
2012
Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case. Zbl 1337.81103
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto
10
2015
Phase boundaries in algebraic conformal QFT. Zbl 1355.81101
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
10
2016
Localization in nets of standard spaces. Zbl 1318.81054
Lechner, Gandalf; Longo, Roberto
10
2015
Covariant sectors with infinite dimension and positivity of the energy. Zbl 0908.46038
Bertozzini, Paolo; Conti, Roberto; Longo, Roberto
9
1998
\(N=2\) superconformal nets. Zbl 1318.81057
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto; Xu, Feng
8
2015
Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers. Zbl 1435.46044
Giorgetti, Luca; Longo, Roberto
8
2019
Entropy of coherent excitations. Zbl 1428.81116
Longo, Roberto
8
2019
Extensions of automorphisms and gauge symmetries. Zbl 0792.46052
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
7
1993
The information in a wave. Zbl 1450.81002
Ciolli, Fabio; Longo, Roberto; Ruzzi, Giuseppe
7
2020
Graded KMS-functionals and the breakdown of supersymmetry. Zbl 0998.46032
Buchholz, Detlev; Longo, Roberto
6
1999
Natural energy bounds in quantum thermodynamics. Zbl 1061.82005
Guido, Daniele; Longo, Roberto
6
2001
How to remove the boundary in CFT — an operator algebraic procedure. Zbl 1171.81421
Longo, Roberto; Rehren, Karl-Henning
6
2009
Boundary quantum field theory on the interior of the Lorentz hyperboloid. Zbl 1244.81058
Longo, Roberto; Rehren, Karl-Henning
6
2012
A simple proof of the existence of modular automorphisms in approximately finite dimensional von Neumann algebras. Zbl 0347.46071
Longo, Roberto
5
1978
Superconformal nets and noncommutative geometry. Zbl 1329.46063
Carpi, Sebastiano; Hillier, Robin; Longo, Roberto
5
2015
The classification of non-local chiral CFT with \(c < 1\). Zbl 1131.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Pennig, Ulrich; Rehren, Karl-Henning
5
2007
A spectral mapping theorem for locally compact groups of operators. Zbl 0522.46033
D’Antoni, Claudio; Longo, Roberto; Zsidó, Lászlo
5
1982
A remark on crossed product of C*-algebras. Zbl 0426.46049
Longo, Roberto
4
1981
A note on the \(\Gamma\)-spectrum of an automorphism group. Zbl 0434.46047
Herman, Richard H.; Longo, Roberto
4
1980
A converse Hawking-Unruh effect and \(dS^2\) correspondence. Zbl 1050.81054
Guido, Daniele; Longo, Roberto
4
2004
Non-equilibrium thermodynamics and conformal field theory. Zbl 1387.82042
Hollands, Stefan; Longo, Roberto
4
2018
Split property for free massless finite helicity fields. Zbl 1418.81057
Longo, Roberto; Morinelli, Vincenzo; Preta, Francesco; Rehren, Karl-Henning
4
2019
Von Neumann entropy in QFT. Zbl 1460.81048
Longo, Roberto; Xu, Feng
3
2021
The Bisognano-Wichmann theorem for charged states and the conformal boundary of a black hole. Zbl 0999.81036
Longo, Roberto
3
2000
On the Jones index values for conformal subnets. Zbl 1190.81079
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
3
2010
Restricting a compact action to an injective subfactor. Zbl 0697.46028
Longo, Roberto
3
1989
Martingale convergence of generalized conditional expectations. Zbl 0788.60060
Accardi, Luigi; Longo, Roberto
2
1993
Free products in AQFT. (Produits libres dans l’AQFT.) Zbl 1416.81098
Longo, Roberto; Tanimoto, Yoh; Ueda, Yoshimichi
2
2019
Noncommutative geometry. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 3–9, 2000. Zbl 1032.46002
2
2004
The joint modular structure of an inclusion of von Neumann algebras. Zbl 0616.46053
Longo, Roberto
2
1987
How to add a boundary condition. Zbl 1270.81197
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2
2013
On the spin-statistics relation for topological charges. Zbl 0965.81042
Longo, Roberto
2
1997
Relative entropy and curved spacetimes. Zbl 1486.81151
Ciolli, Fabio; Longo, Roberto; Ranallo, Alessio; Ruzzi, Giuseppe
1
2022
On perturbed derivations of \(C^*\) algebras. Zbl 0373.46071
Longo, Roberto
1
1977
Some aspects of C*-dynamics. Zbl 0426.46050
Longo, Roberto
1
1979
Mathematical physics in mathematics and physics. Quantum and operator algebraic aspects. Proceedings of a conference, Siena, Italy, June 20–24, 2000. Dedicated to Sergio Doplicher and John E. Roberts on the occasion of their 60th birthday. Zbl 0979.00039
1
2001
Remarks on pseudonormalcy. Zbl 0588.46043
Longo, Roberto
1
1985
Problems on von Neumann algebras suggested by quantum field theory. Zbl 0932.46061
Longo, Roberto
1
1994
Rotational KMS states and type I conformal nets. Zbl 1386.81114
Longo, Roberto; Tanimoto, Yoh
1
2018
Relative entropy and curved spacetimes. Zbl 1486.81151
Ciolli, Fabio; Longo, Roberto; Ranallo, Alessio; Ruzzi, Giuseppe
1
2022
Von Neumann entropy in QFT. Zbl 1460.81048
Longo, Roberto; Xu, Feng
3
2021
Entropy distribution of localised states. Zbl 1432.81009
Longo, Roberto
16
2020
The information in a wave. Zbl 1450.81002
Ciolli, Fabio; Longo, Roberto; Ruzzi, Giuseppe
7
2020
Minimal index and dimension for 2-\(C^*\)-categories with finite-dimensional centers. Zbl 1435.46044
Giorgetti, Luca; Longo, Roberto
8
2019
Entropy of coherent excitations. Zbl 1428.81116
Longo, Roberto
8
2019
Split property for free massless finite helicity fields. Zbl 1418.81057
Longo, Roberto; Morinelli, Vincenzo; Preta, Francesco; Rehren, Karl-Henning
4
2019
Free products in AQFT. (Produits libres dans l’AQFT.) Zbl 1416.81098
Longo, Roberto; Tanimoto, Yoh; Ueda, Yoshimichi
2
2019
From vertex operator algebras to conformal nets and back. Zbl 1434.17001
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto; Weiner, Mihály
37
2018
Relative entropy in CFT. Zbl 1398.81216
Longo, Roberto; Xu, Feng
19
2018
Comment on the Bekenstein bound. Zbl 1391.81122
Longo, Roberto; Xu, Feng
17
2018
On Landauer’s principle and bound for infinite systems. Zbl 1401.81028
Longo, Roberto
14
2018
Non-equilibrium thermodynamics and conformal field theory. Zbl 1387.82042
Hollands, Stefan; Longo, Roberto
4
2018
Rotational KMS states and type I conformal nets. Zbl 1386.81114
Longo, Roberto; Tanimoto, Yoh
1
2018
Where infinite spin particles are localizable. Zbl 1345.81072
Longo, Roberto; Morinelli, Vincenzo; Rehren, Karl-Henning
16
2016
Phase boundaries in algebraic conformal QFT. Zbl 1355.81101
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
10
2016
Tensor categories and endomorphisms of von Neumann algebras. With applications to quantum field theory. Zbl 1328.46047
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, Karl-Henning
32
2015
Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case. Zbl 1337.81103
Bischoff, Marcel; Kawahigashi, Yasuyuki; Longo, Roberto
10
2015
Localization in nets of standard spaces. Zbl 1318.81054
Lechner, Gandalf; Longo, Roberto
10
2015
\(N=2\) superconformal nets. Zbl 1318.81057
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto; Xu, Feng
8
2015
Superconformal nets and noncommutative geometry. Zbl 1329.46063
Carpi, Sebastiano; Hillier, Robin; Longo, Roberto
5
2015
How to add a boundary condition. Zbl 1270.81197
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
2
2013
Thermal states in conformal QFT. II. Zbl 1280.81115
Camassa, Paolo; Longo, Roberto; Tanimoto, Yoh; Weiner, Mihály
14
2012
Thermal states in conformal QFT. I. Zbl 1246.81317
Camassa, Paolo; Longo, Roberto; Tanimoto, Yoh; Weiner, Mihály
11
2012
Boundary quantum field theory on the interior of the Lorentz hyperboloid. Zbl 1244.81058
Longo, Roberto; Rehren, Karl-Henning
6
2012
An algebraic construction of boundary quantum field theory. Zbl 1214.81253
Longo, Roberto; Witten, Edward
22
2011
Geometric modular action for disjoint intervals and boundary conformal field theory. Zbl 1190.81121
Longo, Roberto; Martinetti, Pierre; Rehren, Karl-Henning
14
2010
Spectral triples and the super-Virasoro algebra. Zbl 1197.17015
Carpi, Sebastiano; Hillier, Robin; Kawahigashi, Yasuyuki; Longo, Roberto
11
2010
On the Jones index values for conformal subnets. Zbl 1190.81079
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
3
2010
How to remove the boundary in CFT — an operator algebraic procedure. Zbl 1171.81421
Longo, Roberto; Rehren, Karl-Henning
6
2009
Real Hilbert subspaces, modular theory, \(SL(2,\mathbb R)\) and CFT. Zbl 1199.81032
Longo, Roberto
34
2008
Structure and classification of superconformal nets. Zbl 1154.81023
Carpi, Sebastiano; Kawahigashi, Yasuyuki; Longo, Roberto
24
2008
Nuclearity and thermal states in conformal field theory. Zbl 1187.81193
Buchholz, Detlev; D&rsquo;Antoni, Claudio; Longo, Roberto
17
2007
The classification of non-local chiral CFT with \(c < 1\). Zbl 1131.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Pennig, Ulrich; Rehren, Karl-Henning
5
2007
Local conformal nets arising from framed vertex operator algebras. Zbl 1105.81052
Kawahigashi, Yasuyuki; Longo, Roberto
23
2006
Solitons in affine and permutation orbifolds. Zbl 1078.81051
Kac, Victor G.; Longo, Roberto; Xu, Feng
30
2005
Noncommutative spectral invariants and black hole entropy. Zbl 1081.58018
Kawahigashi, Yasuyuki; Longo, Roberto
16
2005
Classification of local conformal nets. Case \(c < 1\). Zbl 1083.46038
Kawahigashi, Yasuyuki; Longo, Roberto
70
2004
Topological sectors and a dichotomy in conformal field theory. Zbl 1158.81345
Longo, Roberto; Xu, Feng
48
2004
Classification of two-dimensional local conformal nets with \(c<1\) and 2-cohomology vanishing for tensor categories. Zbl 1043.81063
Kawahigashi, Yasuyuki; Longo, Roberto
32
2004
Local fields in boundary conformal QFT. Zbl 1078.81052
Longo, Roberto; Rehren, Karl-Henning
31
2004
A converse Hawking-Unruh effect and \(dS^2\) correspondence. Zbl 1050.81054
Guido, Daniele; Longo, Roberto
4
2004
Noncommutative geometry. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 3–9, 2000. Zbl 1032.46002
2
2004
Conformal subnets and intermediate subfactors. Zbl 1042.46035
Longo, Roberto
41
2003
Modular localization and Wigner particles. Zbl 1033.81063
Brunetti, R.; Guido, D.; Longo, R.
58
2002
A remark on quantum group actions and nuclearity. Zbl 1030.46091
Doplicher, S.; Longo, R.; Roberts, J. E.; Zsidó, L.
14
2002
Multi-interval subfactors and modularity of representations in conformal field theory. Zbl 1016.81031
Kawahigashi, Yasuyuki; Longo, Roberto; Müger, Michael
89
2001
Charged sectors, spin and statistics in quantum field theory on curved spacetimes. Zbl 1029.81052
Guido, D.; Longo, R.; Roberts, J. E.; Verch, R.
32
2001
Notes for a quantum index theorem. Zbl 0992.81046
Longo, Roberto
25
2001
Conformal nets, maximal temperature and models from free probability. Zbl 0994.46022
D&rsquo;Antoni, Claudio; Longo, Roberto; Rădulescu, Florin
12
2001
Natural energy bounds in quantum thermodynamics. Zbl 1061.82005
Guido, Daniele; Longo, Roberto
6
2001
Mathematical physics in mathematics and physics. Quantum and operator algebraic aspects. Proceedings of a conference, Siena, Italy, June 20–24, 2000. Dedicated to Sergio Doplicher and John E. Roberts on the occasion of their 60th birthday. Zbl 0979.00039
1
2001
The Bisognano-Wichmann theorem for charged states and the conformal boundary of a black hole. Zbl 0999.81036
Longo, Roberto
3
2000
Graded KMS-functionals and the breakdown of supersymmetry. Zbl 0998.46032
Buchholz, Detlev; Longo, Roberto
6
1999
A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras. Zbl 0915.46051
Izumi, Masaki; Longo, Roberto; Popa, Sorin
72
1998
Extensions of conformal nets and superselection structures. Zbl 0993.46035
Guido, D.; Longo, R.; Wiesbrock, H.-W.
42
1998
Covariant sectors with infinite dimension and positivity of the energy. Zbl 0908.46038
Bertozzini, Paolo; Conti, Roberto; Longo, Roberto
9
1998
A theory of dimension. Zbl 0874.18005
Longo, R.; Roberts, J. E.
105
1997
An analogue of the Kac-Wakimoto formula and black hole conditional entropy. Zbl 0878.58068
Longo, Roberto
24
1997
On the spin-statistics relation for topological charges. Zbl 0965.81042
Longo, Roberto
2
1997
The conformal spin and statistics theorem. Zbl 0858.46053
Guido, Daniele; Longo, Roberto
62
1996
Nets of subfactors. Zbl 0836.46055
Longo, R.; Rehren, K.-H.
106
1995
An algebraic spin and statistics theorem. Zbl 0831.46081
Guido, Daniele; Longo, Roberto
30
1995
Group cohomology, modular theory and space-time symmetries. Zbl 0837.46058
Brunetti, R.; Guido, D.; Longo, R.
19
1995
A duality for Hopf algebras and for subfactors. I. Zbl 0802.46075
Longo, Roberto
78
1994
Problems on von Neumann algebras suggested by quantum field theory. Zbl 0932.46061
Longo, Roberto
1
1994
Modular structure and duality in conformal quantum field theory. Zbl 0809.46086
Brunetti, R.; Guido, D.; Longo, R.
83
1993
Extensions of automorphisms and gauge symmetries. Zbl 0792.46052
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
7
1993
Martingale convergence of generalized conditional expectations. Zbl 0788.60060
Accardi, Luigi; Longo, Roberto
2
1993
Relativistic invariance and charge conjugation in quantum field theory. Zbl 0771.46039
Guido, Daniele; Longo, Roberto
46
1992
Minimal index and braided subfactors. Zbl 0798.46047
Longo, Roberto
29
1992
A remark on the minimal index of subgfactors. Zbl 0791.46040
Kosaki, Hideki; Longo, Roberto
22
1992
A new look at Goldstone’s theorem. Zbl 0784.46060
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto; Roberts, John E.
15
1992
Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial. Zbl 0705.46038
Longo, Roberto
70
1990
Nuclear maps and modular structures. I: General properties. Zbl 0705.46033
Buchholz, Detlev; D&rsquo;Antoni, Claudio; Longo, Roberto
38
1990
Nuclear maps and modular structures. II: Applications to quantum field theory. Zbl 0773.47007
Buchholz, Detlev; D&rsquo;Antoni, Claudio; Longo, Roberto
33
1990
Index of subfactors and statistics of quantum fields. I. Zbl 0682.46045
Longo, Roberto
116
1989
Restricting a compact action to an injective subfactor. Zbl 0697.46028
Longo, Roberto
3
1989
Simple injective subfactors. Zbl 0616.46054
Longo, Roberto
37
1987
Convergence of local charges and continuity properties of \(W^*\)- inclusions. Zbl 0657.46045
Antoni, C. D.; Doplicher, S.; Fredenhagen, K.; Longo, R.
25
1987
The joint modular structure of an inclusion of von Neumann algebras. Zbl 0616.46053
Longo, Roberto
2
1987
On Noether’s theorem in quantum field theory. Zbl 0609.46037
Buchholz, Detlev; Doplicher, Sergio; Longo, Roberto
38
1986
Remarks on pseudonormalcy. Zbl 0588.46043
Longo, Roberto
1
1985
Standard and split inclusions of von Neumann algebras. Zbl 0539.46043
Doplicher, S.; Longo, R.
116
1984
Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions. Zbl 0538.46045
Longo, R.
38
1984
Noncommutative topological dynamics and compact actions on \(C^*\)- algebras. Zbl 0556.46039
Longo, Roberto; Peligrad, Costel
19
1984
Interpolation by type I factors and the flip automorphism. Zbl 0535.46036
D&rsquo;Antoni, Claudio; Longo, Roberto
37
1983
Local aspects of superselection rules. II. Zbl 0523.46046
Doplicher, Sergio; Longo, Roberto
27
1983
Modular structure of the local algebras associated with the free massless scalar field theory. Zbl 0491.46060
Hislop, Peter D.; Longo, Roberto
81
1982
Algebraic and modular structure of von Neumann algebras of physics. Zbl 0504.46050
Longo, Roberto
20
1982
A spectral mapping theorem for locally compact groups of operators. Zbl 0522.46033
D&rsquo;Antoni, Claudio; Longo, Roberto; Zsidó, Lászlo
5
1982
A remark on crossed product of C*-algebras. Zbl 0426.46049
Longo, Roberto
4
1981
A note on the \(\Gamma\)-spectrum of an automorphism group. Zbl 0434.46047
Herman, Richard H.; Longo, Roberto
4
1980
Notes on algebraic invariants for non-commutative dynamical systems. Zbl 0421.46053
Longo, Roberto
16
1979
Automatic relative boundedness of derivations in \(C*\)-algebras. Zbl 0433.46055
Longo, Roberto
11
1979
Some aspects of C*-dynamics. Zbl 0426.46050
Longo, Roberto
1
1979
A simple proof of the existence of modular automorphisms in approximately finite dimensional von Neumann algebras. Zbl 0347.46071
Longo, Roberto
5
1978
On perturbed derivations of \(C^*\) algebras. Zbl 0373.46071
Longo, Roberto
1
1977
all top 5

Cited by 560 Authors

62 Longo, Roberto
29 Tanimoto, Yoh
24 Schroer, Bert
23 Buchholz, Detlev
23 Xu, Feng
22 Rehren, Karl-Henning
19 Kawahigashi, Yasuyuki
15 Dong, Chongying
15 Fredenhagen, Klaus
15 Lechner, Gandalf
15 Summers, Stephen Jeffrey
14 Carpi, Sebastiano
13 Fewster, Christopher John
13 Vasselli, Ezio
12 Ruzzi, Giuseppe
11 Bischoff, Marcel
11 Doplicher, Sergio
11 Evans, David E.
11 Fidaleo, Francesco
11 Hollands, Stefan
11 Jones, Corey
11 Pinzari, Claudia
11 Weiner, Mihály
10 Borchers, Hans-Jürgen
10 Conti, Roberto
10 Morinelli, Vincenzo
10 Penneys, David
10 Popa, Sorin Teodor
9 D’Antoni, Claudio
9 Giorgetti, Luca
9 Izumi, Masaki
9 Müger, Michael
9 Roberts, John Elias
9 Verch, Rainer
8 Del Vecchio, Simone
8 Fuchs, Jürgen
8 Guido, Daniele
8 Hillier, Robin
8 Mund, Jens
8 Naaijkens, Pieter
8 Neeb, Karl-Hermann
8 Runkel, Ingo
8 Tomatsu, Reiji
7 Jones, Vaughan Frederick Randal
7 Masuda, Toshihiko
7 Morsella, Gerardo
7 Schweigert, Christoph
7 Wiesbrock, Hans-Werner
7 Yngvason, Jakob
6 Bostelmann, Henning
6 Gui, Bin
6 Liu, Zhengwei
6 Narnhofer, Heide
6 Neshveyev, Sergey V.
6 Peligrad, Costel
6 Rossi, Stefano
6 Werner, Reinhard F.
6 Yamashita, Makoto
5 Casini, Horacio
5 Dybalski, Wojciech
5 Faulkner, Thomas
5 Gannon, Terry
5 Jørgensen, Palle E. T.
5 Kong, Liang
5 Li, Hanfeng
5 Pinamonti, Nicola
5 Szlachányi, Kornél
5 Thirring, Walter E.
5 Tonni, Erik
5 Vaes, Stefaan
5 Yamagami, Shigeru
5 Yamanouchi, Takehiko
4 Bartels, Arthur C.
4 Bratteli, Ola
4 Brunetti, Romeo
4 Douglas, Christopher L.
4 Elliott, George A.
4 Ghosh, Shamindra Kumar
4 Grossman, Pinhas
4 Henriques, André G.
4 Hiai, Fumio
4 Houdayer, Cyril
4 Lin, Xingjun
4 Matsui, Taku
4 Mukherjee, Kunal K.
4 Ogata, Yoshiko
4 Rejzner, Katarzyna
4 Sato, Nobuya
4 Snyder, Noah
4 Tener, James E.
4 Tuset, Lars
4 Wang, Zhenghan
4 Watatani, Yasuo
4 Wichmann, Eyvind H.
3 Bakshi, Keshab Chandra
3 Bédos, Erik
3 Böhm, Gabriella
3 Brothier, Arnaud
3 Cadamuro, Daniela
3 Choda, Marie
...and 460 more Authors
all top 5

Cited in 113 Serials

199 Communications in Mathematical Physics
59 Journal of Functional Analysis
45 Letters in Mathematical Physics
45 Reviews in Mathematical Physics
43 Journal of Mathematical Physics
40 Journal of High Energy Physics
28 Advances in Mathematics
28 International Journal of Mathematics
21 Annales Henri Poincaré
15 Journal of Algebra
14 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Transactions of the American Mathematical Society
13 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Proceedings of the American Mathematical Society
9 Journal of Geometry and Physics
9 Foundations of Physics
8 Nuclear Physics. B
8 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Ergodic Theory and Dynamical Systems
6 Journal of Noncommutative Geometry
5 Journal of Mathematical Analysis and Applications
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of Pure and Applied Algebra
4 International Journal of Theoretical Physics
4 Inventiones Mathematicae
4 Mathematische Annalen
4 Memoirs of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Theory and Applications of Categories
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Classical and Quantum Gravity
3 General Relativity and Gravitation
3 Journal of Statistical Physics
3 Reports on Mathematical Physics
3 Duke Mathematical Journal
3 Communications in Contemporary Mathematics
3 Journal of Statistical Mechanics: Theory and Experiment
3 Science China. Mathematics
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 International Journal of Modern Physics B
2 Rocky Mountain Journal of Mathematics
2 Theoretical and Mathematical Physics
2 Chaos, Solitons and Fractals
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Glasgow Mathematical Journal
2 Tôhoku Mathematical Journal. Second Series
2 Zeitschrift für Analysis und ihre Anwendungen
2 Annals of Physics
2 Linear Algebra and its Applications
2 Journal of Knot Theory and its Ramifications
2 Selecta Mathematica. New Series
2 Documenta Mathematica
2 Acta Mathematica Sinica. English Series
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Quantum Topology
2 Forum of Mathematics, Sigma
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Physics Letters. B
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Dissertationes Mathematicae
1 Hokkaido Mathematical Journal
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Bulletin of the Iranian Mathematical Society
1 Journal of the American Mathematical Society
1 Science in China. Series A
1 Sugaku Expositions
1 International Journal of Algebra and Computation
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 New Zealand Journal of Mathematics
1 Applied Categorical Structures
1 International Journal of Modern Physics D
1 Journal of Lie Theory
1 Opuscula Mathematica
1 Representation Theory
1 Positivity
1 Fractional Calculus & Applied Analysis
1 Erkenntnis
...and 13 more Serials
all top 5

Cited in 47 Fields

545 Functional analysis (46-XX)
504 Quantum theory (81-XX)
90 Category theory; homological algebra (18-XX)
73 Nonassociative rings and algebras (17-XX)
63 Operator theory (47-XX)
59 Relativity and gravitational theory (83-XX)
54 Statistical mechanics, structure of matter (82-XX)
49 Topological groups, Lie groups (22-XX)
34 Associative rings and algebras (16-XX)
34 Group theory and generalizations (20-XX)
27 Global analysis, analysis on manifolds (58-XX)
19 Manifolds and cell complexes (57-XX)
15 Differential geometry (53-XX)
15 Information and communication theory, circuits (94-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Probability theory and stochastic processes (60-XX)
9 Algebraic geometry (14-XX)
7 \(K\)-theory (19-XX)
7 Abstract harmonic analysis (43-XX)
6 Measure and integration (28-XX)
6 Partial differential equations (35-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
3 Mechanics of particles and systems (70-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Real functions (26-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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