… to make several explicit calculations in algebraic K-theory (see for example the computations
… For a very nice overview of the subject of trace maps, algebraic K-theory and computations …

Here Ch"'(X) is the Chow group of codimension m cycles modulo rational equivalence, KO (X)
is the Grothendieck group of vector bundles on X (equal to the Grothendieck group of …

… Lack of knowledge prevents me from giving a detailed list of results in topology and
number theory, but I will mention Waldhausen's algebraic K-theory of spaces, which is a key …

… algebraic Ki 's were finally discovered; their existence and applicability have now justified the
name of the subject-algebraic K-theory… general discussion of all the algebraic K/s. We shall, …

… Similarly, there are four basic constructions for higher algebraic Ktheory: the +-construction
(for rings), the group completion constructions (for symmetric monoidal categories), Quillen's …

… Algebraic K-theory is the branch of algebra dealing with linear algebra (especially in the limiting
… The first aim of this section is to define the relative group K.(R, I) and the exact sequence …

… how topological K-theory inspired even the early effort in algebraic K-theory we mention the
following classical theorem of Hyman Bass. The analogous result in topological K-theory for …

… In this section we list several theorems of algebraic K-theory concerning relative groups
depending on a pair (A, q). Following each theorem are references to results of Sections 1 and 2 …

… Then rationally the relative algebraic K-theory is the same as the relative cyclic homology: …
From a practical viewpoint the theorem may be viewed as a computation in K-theory, since in …

… , bi-relative algebraic K-theory and bi-relative negative cyclic homology agree. In this paper,
we show that, with finite coefficients, bi-relative algebraic K-theory and bi-relative … field k of …