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We propose an algebraic formulation of the notion of causality for spectral triples corresponding to globally hyperbolic manifolds with a well defined noncommutative generalization.
L. Nachbin, Topology and order
1965
Earlier work this paper cites.
R. P. Geroch, Topology in General Relativity
1967
Earlier work this paper cites.
J. Bognar, Indefinite Inner Product Spaces
1974
Earlier work this paper cites.
F. J. Tipler, Existence of a closed timelike geodesic in Lorentz spaces
1979
Earlier work this paper cites.
G. Galloway, Closed timelike geodesics
1984
Earlier work this paper cites.
O. Bratteli and D. W. Robinson, Operator algebras and quantum statistical mechanics. 1, C*- and W*-algebras symmetry groups decomposition of states
1987
Earlier work this paper cites.
B. Lawson and L. Michelson, Spin geometry
1989
Earlier work this paper cites.
N. E. Wegge-Olsen, K-theory and C ∗ C^{*} -algebras: a friendly approach
1993
Earlier work this paper cites.
A. Connes, Noncommutative Geometry
1994
Cited alongside, same era.
J. K. Beem, P. E. Ehrlich and K. L. Easley, Global Lorentzian geometry
1996
Cited alongside, same era.
D. Kalman, A Matrix Proof of Newton’s Identities
2000
Cited alongside, same era.
J. M. Gracia-Bondía, J. C. Várilly and H. Figueroa, Elements of Noncommutative Geometry
2001
Cited alongside, same era.
V. Moretti, Aspects of noncommutative Lorentzian geometry for globally hyperbolic spacetimes
2003
Cited alongside, same era.
V. Gayral, J. M. Gracia-Bondía, B. Iochum, T. Schücker and J. C. Varilly, Moyal Planes are Spectral Triples
2004
Cited alongside, same era.
A. Strohmaier, On noncommutative and pseudo-Riemannian geometry
2006
Later among the works it cites.
A.N. Bernal and M. Sánchez, Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
2006
Later among the works it cites.
A. Connes and M. Marcolli, Noncommutative Geometry, Quantum Fields and Motives
2008
Later among the works it cites.
F. Besnard, A noncommutative view on topology and order
2009
Later among the works it cites.
N. Franco, Towards a noncommutative version of Gravitation
2010
Later among the works it cites.
N. Franco, Global Eikonal Condition for Lorentzian Distance Function in Noncommutative Geometry
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W. D. van Suijlekom, The noncommutative Lorentzian cylinder as an isospectral deformation
2004
Cited alongside, same era.
A.N. Bernal and M. Sánchez, Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
2005
Cited alongside, same era.
N. Franco, Temporal Lorentzian Spectral Triple
Cited in the paper.
M. Paschke and A. Sitarz, Equivariant Lorentzian spectral triples
Cited in the paper.
Cited in the paper.
2010
Later among the works it cites.
N. Franco, Lorentzian approach to noncommutative geometry
2011
Later among the works it cites.
2011
Later among the works it cites.