… Abstract We show that if two rings have equivalent derived categories, then they have the
same algebraic K-theory. Similar results are given for G-theory and for a large class of …

… However, contrary to the K-theory case, ( w R • ( 2 ) A ptr ) h is not a delooping of ( w R • A
ptr ) h . To construct a spectrum as in the K-theory case, we note that the pretriangulated hull A …

… Our methods yield an explicit non-connective delooping of the K-theory of exact categories
… Extending a theorem of Auslander and Sherman, we discuss the K-theory homotopy fiber of E…

… a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in
the … This K-theory is not invariant under general equivalences of derivators, but only under a …

… ’s definition of higher algebraic K-theory was that the right way … formal properties of the
K-theory construction, namely … K-theory. For example, the assembly map for the algebraic …

… and topological K~theory 11.5 and 11.9. Indeed most known results in K-theory can be …
We also develop the higher K -theory of derived categories, which is an essential tool in the …

… The proof uses Gersten’s result [5]: free associative nonunital rings have trivial K-theory
which historically was the missing part of the earliest proof of the equivalence of these K-theories …

… cut to the proof is possible if the definition of K-theory is adjusted somewhat. We begin with
the … This is the desired pairing in K-theory in view of the homotopy equivalence of IwS.CI with …

… In this section, we give basic definitions we need for K-theory, shift equivalence and strong
shift equivalence. Then we give a little background from symbolic dynamics (not needed for …

… In the setting of topological K-theory, the above … K-theory and equivariant stable homotopy
theory are homotopy computable. The approach to analyzing equivariant algebraic K-theory is …