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A new construction of a semifinite spectral triple on an algebra of holonomy loops is presented.
Representation theory of analytic holonomy C ∗ C^{*} -algebras
Abhay Ashtekar and Jerzy Lewandowski · 1994
Earlier work this paper cites.
On unbounded p p -summable Fredholm modules
A. L. Carey, J. Phillips, and F. A. Sukochev · 2000
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Background independent quantum gravity: a status report
Abhay Ashtekar and Jerzy Lewandowski · 2004
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Separable Hilbert space in loop quantum gravity
Winston Fairbairn and Carlo Rovelli · 2004
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Spectral triples of holonomy loops
Johannes Aastrup and Jesper Møller Grimstrup · 2006
Cited alongside, same era.
Gravity and the standard model with neutrino mixing
A.H. Chamsedinne, A. Connes, and M. Marcolli · 2006
Cited alongside, same era.
Intersecting Connes noncommutative geometry with quantum gravity
Johannes Aastrup and Jesper Møller Grimstrup · 2007
Later among the works it cites.
On spectral triples in quantum gravity I
J. Aastrup, J. Grimstrup, and R. Nest · 2008
Closest in time.
On spectral triples in quantum gravity II
J. Aastrup, J. Grimstrup, and R. Nest · 2008
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