## $K$-theory of log-schemes. I.

### Summary

Summary: We set down some basic facts about the algebraic and topological $K$-theory of log-schemes. In particular, we show that the l-adic topological log-étale $K$-theory of log-regular schemes computes the l-adic étale $K$-theory of the largest open sets where the log-structure is trivial.

19D55, 14F20

### Keywords/Phrases

K-theory, topological K-theory, log-schemes