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Forming the product of two geometric spaces is one of the most basic operations in geometry, but in the spectral-triple formulation of non-commutative geometry, the standard prescription for taking the product of two real spectral triples is problematic: among other drawbacks, it is non-commutative, non-associative, does not transform properly under unitaries, and often fails to define a proper spectral triple.
M. Atiyah, R. Bott and A. Shapiro, Clifford modules
1964
Earlier work this paper cites.
M. Atiyah and I.M. Singer, Index theory for skew-adjoint fredholm operators
1969
Earlier work this paper cites.
A. Connes, Noncommutative Geometry
1994
Earlier work this paper cites.
A. Connes, Noncommutative geometry and reality
1995
Earlier work this paper cites.
A. Connes, Gravity coupled with matter and foundation of noncommutative geometry
1996
Earlier work this paper cites.
G. Landi, An Introduction to Noncommutative Spaces and their Geometries
1997
Earlier work this paper cites.
T. Krajewski, Classification of finite spectral triples
1998
Earlier work this paper cites.
F. Vanhecke, On the Product of Real Spectral Triples
1999
Earlier work this paper cites.
J. Gracia-Bondia, J. Varilly and H.Figueroa, Elements of Noncommutative Geometry
2000
Earlier work this paper cites.
T. Schucker, Forces from Connes’ geometry
2005
Earlier work this paper cites.
J. Polchinski, Superstring Theory and Beyond, Volume 2
2005
Cited alongside, same era.
A. Connes, Noncommutative geometry and the standard model with neutrino mixing
2006
Cited alongside, same era.
J. Barrett, A Lorentzian version of the non-commutative geometry of the standard model of particle physics
2007
Cited alongside, same era.
A.. Chamseddine, A. Connes and M. Marcolli, Gravity and the standard model with neutrino mixing
2007
Cited alongside, same era.
2007
Cited alongside, same era.
A. Connes and M. Marcolli, Noncommutative geometry, quantum fields and motives
B. Cacic, Real structures on almost-commutative spectral triples
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
A. Devastato, F. Lizzi and P. Martinetti, Grand Symmetry, Spectral Action, and the Higgs mass
2014
Later among the works it cites.
C. Stephan, A Dark Sector Extension of the Almost-Commutative Standard Model
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2008
Cited alongside, same era.
A. Chamseddine and A. Connes, Why the Standard Model
2008
Cited alongside, same era.
C. Stephan, New Scalar Fields in Noncommutative Geometry
2009
Cited alongside, same era.
L. Dabrowski and G. Dossena, Product of real spectral triples
2011
Cited alongside, same era.
K. van den Dungen and W. van Suijlekom, Particle Physics from Almost Commutative Spacetimes
2012
Cited alongside, same era.
A. Sitarz, Habilitation Thesis Introduction
Cited in the paper.
Cited in the paper.
2014
Later among the works it cites.
M. Marcolli, Noncommutative Cosmology
2015
Later among the works it cites.
2015
Later among the works it cites.
L. Boyle and S. Farnsworth, A new algebraic structure in the standard model of particle physics
2015
Later among the works it cites.
W. van Suijlekom, Noncommutative Geometry and Particle Physics
2015
Later among the works it cites.