Smooth functions on algebraic K-theory

J. P. Pridham

Smooth functions on algebraic K-theory

School of Mathematics

Research output: Working paper

Abstract

For any complex scheme X or any dg category, there is an associated K-theory presheaf on the category of complex affine schemes. We study real smooth functions on this presheaf, defined by Kan extension, and show that they are closely related to real Deligne cohomology. When X is quasi-compact and semi-separated, and for various non-commutative derived schemes, these smooth functions on K-theory are dual to the homotopy fibre of the Chern character from Blanc's semi-topological K-theory to cyclic homology.

Original language	English
Publisher	ArXiv
Publication status	Published - 19 Feb 2016

Keywords / Materials (for Non-textual outputs)

math.KT
math.AG

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1602.06222v1Submitted manuscript, 198 KB

https://arxiv.org/abs/1602.06222

Jon Pridham
- School of Mathematics - Personal Chair of Derived Algebraic Geometry
Person: Academic: Research Active

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Smooth functions on algebraic K-theory

Abstract

Keywords / Materials (for Non-textual outputs)

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Jon Pridham

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