Some remarks on topological 𝐾-theory of dg categories | Zendy

Benjamin Antieau | Zendy; Jeremiah Heller | Zendy

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Some remarks on topological 𝐾-theory of dg categories

Author(s) -

Benjamin Antieau,

Jeremiah Heller

Publication year - 2018

Publication title -

proceedings of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.968

H-Index - 84

eISSN - 1088-6826

pISSN - 0002-9939

DOI - 10.1090/proc/14128

Subject(s) - annotation , algorithm , conjecture , computer science , type (biology) , semantics (computer science) , mathematics , artificial intelligence , machine learning , discrete mathematics , biology , ecology , programming language

Using techniques from motivic homotopy theory, we prove a conjecture of Anthony Blanc about semi-topological K-theory of dg categories with finite coefficients. Along the way, we show that the connective semi-topological K-theories defined by Friedlander-Walker and by Blanc agree for quasi-projective complex varieties and we study \'etale descent of topological K-theory of dg categories.

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