K-theory of non-archimedean rings II

TL;DR

This paper explores key properties of analytic K-theory for Tate rings, including invariance, excision, and descent, advancing the understanding of algebraic K-theory in non-archimedean contexts.

Contribution

It establishes fundamental properties like homotopy invariance and excision for the analytic K-theory of Tate rings, extending prior theoretical frameworks.

Findings

Proves homotopy invariance for Tate rings

Establishes Bass fundamental theorem in this setting

Demonstrates descent for admissible coverings

Abstract

We study fundamental properties of analytic $K$-theory of Tate rings such as homotopy invariance, Bass fundamental theorem, Milnor excision, and descent for admissible coverings.