Comparison of algebraic and semi-topological K-theory with finite coefficients
Comparison of algebraic and semi-topological K-theory with finite coefficients
Let be a dg-category over and let be an integer. Write and for the reductions modulo of the algebraic and semi-topological K-theory spectra. Finite-coefficient comparison conjecture. The map
is an equivalence. The conjecture is motivated by Thomason's comparison theorem and Friedlander–Walker's analogous result, but the source explicitly allows arbitrary dg-categories and gives no resolution status.
Sources & referencesView supporting material
Primary source
Anthony Blanc, “Topological K-theory of complex noncommutative spaces”, arXiv:1211.7360 (2015).
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