## On the cyclic homology of ringed spaces and schemes

### Summary

Summary: 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.

### Mathematics Subject Classification

16E40, 18E30, 14F05

### Keywords/Phrases

cyclic homology, Chern character, ringed space, scheme, perfect complex, derived category