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Let \mathbb{B} be a Lie group admitting a left-invariant negatively curved Kählerian structure. Consider a strongly continuous action \alpha of \mathbb{B} on a Fréchet algebra \mathcal{A}. Denote by \mathcal{A}^\infty the associated Fréchet algebra of smooth vectors for this act…
Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, the authors prove the local index formula for spectral triples over nonunital algebras, without the assumption of local units in our algebra. This formula has be…