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The Chern character for Lie-Rinehart algebras

Helge Maakestad — 2005

Annales de l'institut Fourier

Let $A$ be a commutative $S$ -algebra where $S$ is a ring containing the rationals. We prove the existence of a Chern character for Lie-Rinehart algebras $L$ over A with values in the Lie-Rinehart cohomology of L which is independent of choice of a $L$ -connection. Our result generalizes the classical Chern character from the $K$ -theory of $A$ to the algebraic De Rham cohomology.

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