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- W3105103628 abstract "We refine the reconstruction theorem for almost-commutative spectral triples to a result for real almost-commutative spectral triples, clarifying in the process both concrete and abstract definitions of real commutative and almost-commutative spectral triples. In particular, we find that a real almost-commutative spectral triple algebraically encodes the commutative *-algebra of the base manifold in a canonical way, and that a compact oriented Riemannian manifold admits real (almost-)commutative spectral triples of arbitrary KO-dimension. Moreover, we define a notion of smooth family of real finite spectral triples and of the twisting of a concrete real commutative spectral triple by such a family, with interesting KK-theoretic and gauge-theoretic implications." @default.
- W3105103628 created "2020-11-23" @default.
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- W3105103628 date "2013-03-01" @default.
- W3105103628 modified "2023-10-18" @default.
- W3105103628 title "Real Structures on Almost-Commutative Spectral Triples" @default.
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- W3105103628 doi "https://doi.org/10.1007/s11005-013-0616-7" @default.
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