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We identify a direct correspondence between the crossed product construction which plays a crucial role in the theory of Type III von Neumann algebras, and the extended phase space construction which restores the integrability of non-zero charges generated by gauge symmetries in the presence of spatial substructures.
1912
Earlier work this paper cites.
R. Kubo, “Statistical-mechanical theory of irreversible processes. i. general theory and simple applications to magnetic and conduction problems,” Journal of the Physical Society of Japan
1957
Earlier work this paper cites.
M. Nakamura and Z. Takeda, “On some elementary properties of the crossed products of von neumann algebras,” Proceedings of the Japan Academy
1958
Earlier work this paper cites.
T. Turumaru, “Crossed product of operator algebra,” Tohoku Mathematical Journal, Second Series
1958
Earlier work this paper cites.
P. C. Martin and J. S. Schwinger, “Theory of many particle systems. 1.,” Phys. Rev
1959
Earlier work this paper cites.
R. Haag and D. Kastler, “An Algebraic approach to quantum field theory,” J. Math. Phys
1964
Earlier work this paper cites.
H. Araki, “Type of von Neumann Algebra Associated with Free Field,” Progress of Theoretical Physics
1964
Earlier work this paper cites.
S. Doplicher, D. Kastler, and D. W. Robinson, “Covariance algebras in field theory and statistical mechanics,” Communications in Mathematical Physics
1966
Earlier work this paper cites.
R. Haag, N. M. Hugenholtz, and M. Winnink, “On the Equilibrium states in quantum statistical mechanics,” Commun. Math. Phys
1967
Earlier work this paper cites.
B. Kostant, “On Certain Unitary Representations which Arise from a Quantization Theory,” Conf. Proc. C
1969
Earlier work this paper cites.
Lecture Notes in Mathematics. Springer-Verlag, 1970
M. Takesaki, Tomita’s Theory of Modular Hilbert Algebras and its Applications · 1970
Earlier work this paper cites.
Springer, 1970
B. Kostant, “Quantization and Unitary Representations,” in Lectures in Modern Analysis and Applications III · 1970
Earlier work this paper cites.
F. Combes, “Poids associé à une algèbre hilbertienne à gauche,” Compositio Mathematica
1971
Earlier work this paper cites.
E. Noether, “Invariant Variation Problems,” Transport theory and statistical physics
1971
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and the second law,” Lett. Nuovo Cim
1972
Earlier work this paper cites.
M. Takesaki, “Periodic and homogeneous states on a von neumann algebra. ii,” Bulletin of The American Mathematical Society - BULL AMER MATH SOC
1973
Earlier work this paper cites.
M. Takesaki, “Duality for crossed products and the structure of von Neumann algebras of type III,” Acta Mathematica
1973
Earlier work this paper cites.
A. Connes, “Une classification des facteurs de type { iii } \{\rm iii\} ,” Annales scientifiques de l’École Normale Supérieure
1973
Earlier work this paper cites.
http://cds.cern.ch/record/414178
T. Digernes, “Poids dual sur un produit croisé,” tech. rep., Aix-Marseille 2. Cent. Phys. Part., Marseille, 1973 · 1973
Earlier work this paper cites.
J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D
1973
Earlier work this paper cites.
Centre de Physique Théorique, 1973
A. Connes, Sur le theoreme de radon nikodym pour les poids normaux fideles semi-finis · 1973
Earlier work this paper cites.
T. Regge and C. Teitelboim, “Role of Surface Integrals in the Hamiltonian Formulation of General Relativity,” Annals of Physics
1974
Earlier work this paper cites.
J. D. Bekenstein, “Generalized second law of thermodynamics in black hole physics,” Phys. Rev. D
1974
Earlier work this paper cites.
J. J. Bisognano and E. H. Wichmann, “On the Duality Condition for Quantum Fields,” J. Math. Phys
1976
Earlier work this paper cites.
U. HAAGERUP, “On the dual weights for crossed products of von neumann algebras i: Removing separability conditions,” Mathematica Scandinavica
1978
Earlier work this paper cites.
U. HAAGERUP, “On the dual weights for crossed products of von neumann algebras ii: Application of operator valued weights,” Mathematica Scandinavica
1978
Earlier work this paper cites.
A. Connes, “On the spatial theory of von neumann algebras,” Journal of Functional Analysis
1980
Earlier work this paper cites.
R. Longo, “Algebraic and modular structure of von Neumann algebras of physics,” Commun. Math. Phys
1982
Earlier work this paper cites.
L. Accardi, C. Cecchini, et al
1982
Earlier work this paper cites.
V. Guillemin and S. Sternberg, “Geometric Quantization and Multiplicities of Group Representations,” Inventiones mathematicae
1982
Earlier work this paper cites.
Springer, 1982
R. Bott, L. W. Tu, et al · 1982
Earlier work this paper cites.
V. Guillemin and S. Sternberg, “A Normal Form for the Moment Map,” Differential geometric methods in mathematical physics
1984
Cited alongside, same era.
K. Fredenhagen, “On the Modular Structure of Local Algebras of Observables,” Commun. Math. Phys
1985
Cited alongside, same era.
B. Kostant and S. Sternberg, “Symplectic Reduction, BRS Cohomology, and Infinite Dimensional Clifford Algebras,” Annals Phys
1987
Cited alongside, same era.
Cambridge university press, 1990
V. Guillemin and S. Sternberg, Symplectic Techniques in Physics · 1990
Cited alongside, same era.
M. Banados, C. Teitelboim, and J. Zanelli, “The Black Hole in Three-dimensional Space-time,” Phys. Rev. Lett
1992
Cited alongside, same era.
R. M. Wald, “Black Hole Entropy is the Noether Charge,” Physical Review D
Springer Science & Business Media, 2012
A. Paterson, Groupoids, inverse semigroups, and their operator algebras · 2012
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
W. Donnelly, “Entanglement Entropy and Nonabelian Gauge Symmetry,” Class. Quant. Grav
2014
Later among the works it cites.
W. Donnelly and A. C. Wall, “Entanglement Entropy of Electromagnetic Edge Modes,” Phys. Rev. Lett
2015
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1993
Cited alongside, same era.
V. Iyer and R. M. Wald, “Some Properties of the Noether Charge and a Proposal for Dynamical Black Hole Entropy,” Physical review D
1994
Cited alongside, same era.
S. Carlip, “The Statistical Mechanics of the (2+1)-dimensional Black Hole,” Phys. Rev. D
1995
Cited alongside, same era.
A. P. Balachandran, L. Chandar, and A. Momen, “Edge States in Gravity and Black Hole Physics,” Nucl. Phys. B
1996
Cited alongside, same era.
S. Carlip, “The Statistical Mechanics of the Three-dimensional Euclidean Black Hole,” Phys. Rev. D
1997
Cited alongside, same era.
A. Strominger, “Black Hole Entropy from Near Horizon Microstates,” JHEP
1998
Cited alongside, same era.
N. P. Landsman, “Lie groupoid c*-algebras and weyl quantization,” Communications in mathematical physics
1999
Cited alongside, same era.
Later among the works it cites.
D. Das and S. Datta, “Universal Features of Left-right Entanglement Entropy,” Phys. Rev. Lett
2015
Later among the works it cites.
W. Donnelly and L. Freidel, “Local Subsystems in Gauge Theory and Gravity,” JHEP
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
T. Faulkner, R. G. Leigh, O. Parrikar, and H. Wang, “Modular Hamiltonians for Deformed Half-spaces and the Averaged Null Energy Condition,” Journal of High Energy Physics
2016
Later among the works it cites.
T. Faulkner, R. G. Leigh, and O. Parrikar, “Shape Dependence of Entanglement Entropy in Conformal Field Theories,” Journal of High Energy Physics
2016
Later among the works it cites.
2017
Later among the works it cites.
M. Geiller, “Edge Modes and Corner Ambiguities in 3d Chern–Simons Theory and Gravity,” Nucl. Phys. B
2017
Later among the works it cites.
V. Balasubramanian, J. R. Fliss, R. G. Leigh, and O. Parrikar, “Multi-boundary Entanglement in Chern-Simons Theory and Link Invariants,” Journal of High Energy Physics
2017
Later among the works it cites.
2017
Later among the works it cites.
E. Witten, “APS medal for exceptional achievement in research: Invited article on entanglement properties of quantum field theory,” Reviews of Modern Physics
2018
Later among the works it cites.
A. J. Speranza, “Local Phase Space and Edge Modes for Diffeomorphism-invariant Theories,” JHEP
2018
Later among the works it cites.
S. Carlip, “Black Hole Entropy from Bondi-Metzner-Sachs Symmetry at the Horizon,” Phys. Rev. Lett
2018
Later among the works it cites.
V. Balasubramanian, M. DeCross, J. Fliss, A. Kar, R. G. Leigh, and O. Parrikar, “Entanglement Entropy and the Colored Jones Polynomial,” Journal of High Energy Physics
2018
Later among the works it cites.
2018
Later among the works it cites.
J. Attard, J. François, S. Lazzarini, and T. Masson, “Cartan Connections and Atiyah Lie Algebroids,” Journal of Geometry and Physics
2020
Later among the works it cites.
L. Ciambelli and R. G. Leigh, “Isolated Surfaces and Symmetries of Gravity,” Phys. Rev. D
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
L. Ciambelli and R. G. Leigh, “Lie Algebroids and the Geometry of Off-shell BRST,” Nucl. Phys. B
2021
Later among the works it cites.
2022
Later among the works it cites.
L. Ciambelli, “From Asymptotic Symmetries to the Corner Proposal,” · 2022
Later among the works it cites.
2022
Later among the works it cites.
E. Witten, “Gravity and the crossed product,” JHEP
2022
Later among the works it cites.