We identify the periodic cyclic homology of the algebra of complete symbols on a differential groupoid *\GR* in terms of the cohomology of *S^*(\GR)*, the cosphere bundle of *A(\GR)*, where *A(\GR)* is the Lie algebroid of *\GR*. We also relate the Hochschild homology of this algebra with the homogeneous Poisson... Show more

August 16, 2000

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Homology of complete symbols and non-commutative geometry

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