ON A CLASS OF CLOSED COCYCLES FOR ALGEBRAS OF NON-FORMAL, POSSIBLY UNBOUNDED, PSEUDODIFFERENTIAL OPERATORS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Methods in functional analysis and topology Année : 2023

ON A CLASS OF CLOSED COCYCLES FOR ALGEBRAS OF NON-FORMAL, POSSIBLY UNBOUNDED, PSEUDODIFFERENTIAL OPERATORS

Résumé

In this article, we consider algebras \scrA of non-formal pseudodifferential operators over S 1 which contain C \infty (S 1), understood as multiplication operators. We apply a construction of Chern-Weil type forms in order to get 2k-closed cocycles. For k = 1, we obtain a cocycle on the algebra of (maybe non classical) pseudodifferential operators with the same cohomology class as the Schwinger cocycle on the algebra of Classical pseudodifferential operators, previously extended and studied by the author on algebras of the same type.
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Dates et versions

hal-04176432 , version 1 (03-08-2023)

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Jean-Pierre Magnot. ON A CLASS OF CLOSED COCYCLES FOR ALGEBRAS OF NON-FORMAL, POSSIBLY UNBOUNDED, PSEUDODIFFERENTIAL OPERATORS. Methods in functional analysis and topology, In press, ⟨10.31392/MFAT-npu26⟩. ⟨hal-04176432⟩
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