Noncommutative geometry and reality

@inproceedings{Connes1995NoncommutativeGA,
  title={Noncommutative geometry and reality},
  author={Alain Connes},
  year={1995}
}
We introduce the notion of real structure in our spectral geometry. This notion is motivated by Atiyah’s KR‐theory and by Tomita’s involution J. It allows us to remove two unpleasant features of the ‘‘Connes–Lott’’ description of the standard model, namely, the use of bivector potentials and the asymmetry in the Poincare duality and in the unimodularity condition. 

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