Representability of continuous K-theory in rigid analytic motivic ${\mathbb{A}}^1$-homotopy theory

Christian Dahlhausen, Can Yaylali, Yicheng Zhou

We prove that both continuous K-theory and analytic K-theory of rigid analytic spaces (à la Kerz--Saito--Tamme) satisfiy descent with respect to the Nisnevich topology. Together wi…