On the cyclic homology of ringed spaces and schemes
Abstract
Description
We prove that the cyclic homology of a scheme with an ample line bundle coincides with the cyclic homology of its category of algebraic vector bundles. As a byproduct of the proof, we obtain a new construction of the Chern character of a perfect complex on a ringed space.
28 pages, detailed introduction added, readability improved
28 pages, detailed introduction added, readability improved