The lattice property for perfect complexes on singular stacks

Author:

Adeel A. Khan

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), K-Theory and Homology (math.KT)

journal:

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date:

2023-08-02 16:00:00

Abstract

Let C be the stable oo-category of perfect complexes on a derived Deligne-Mumford stack X of finite type over the complex numbers. We prove that the complexified noncommutative topological Chern character is an isomorphism for C. In the appendix we show the same property for C the stable oo-category of coherent complexes on a derived algebraic space.