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Twisted spectral triples and covariant differential calculi

Twisted spectral triples and covariant differential calculi

Connes and Moscovici recently studied “twisted” spectral triples $(A,H,D)$ in which the commutators $[D,a]$ are replaced by $D \circ a - \sigma(a) \circ D$, where $ \sigma $ is a second representation of $A$ on $H$. The aim of this note is