Hyperdescent and étale K-theory

We study the \'etale sheafification of algebraic K-theory, called K-theory. Our main results show that K-theory is very close to a noncommutative invariant Selmer which defined at level categories. Consequently, we has surprisingly well-behaved properties, integrally and without finiteness assumptions. A key theoretical ingredient distinction, investigate in detail, between sheaves hypersheaves spectra on sites.