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Regular version of the site

Book chapter

Motivic Structures in Non-commutative Geometry

P. 461-496.

We review some recent results and conjectures saying that, roughly speaking, periodic cyclic homology of a smooth non-commutative algebraic variety should carry all the additional "motivic" structures possessed by the usual de Rham cohomology of a smooth algebraic variety (specifically, an R-Hodge structure for varieties over R, and a filtered Dieudonne module structure for varieties over Z_p).

In book

Vol. 2. New Delhi: Hindustan Book Agency, 2010.