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On the analyticity of the bivariant JLO cocycle

Benameur, Moulay-Tahar; Carey, Alan


The goal of this note is to outline a proof that, for any ℓ ≥ 0, the JLO bivariant cocycle associated with a family of Dirac type operators along a smooth fibration M → B over the pair of algebras (C∞(M), C∞(B)), is entire when we endow C∞(M) with the Cℓ+1 topology and C∞(B) with the Cℓ topology. As a corollary, we deduce that this cocycle is analytic when we consider the Fréchet smooth topologies on C∞(M) and C∞(B).

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Electronic Research Announcements in Mathematical Sciences
DOI: 10.3934/era.2009.16.37


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