… from the real algebraic K-theory of the power of category with … finite pointed real set to the
power of the real algebraic K-theory of … finite real pointed set is a level weak equivalence of real …

… Algebraic K-theory is the branch of algebra dealing with linear algebra (especially in the
limiting … Algebraic K-theory plays an important role in many areas, especially number theory, …

… with involution a real space. This is in analogy with algebraic geometry. In fact if X is the
set of complex points of a real algebraic variety it has a natural structure of real space in our …

… , and the real transformation group C*-algebra coming from a … K-theory; specifically, we
consider the real version of the Cuntz algebras. Chapter 2 prepares for the application of K-theory …

… of those real matri… 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 …

… This book provides a broad coverage of classical algebraic K-theory, with complete proofs.
The groups K.(R), K₁(R), and K2(R) are developed, along with the computational techniques …

… 4 to study the K-theory of rings and schemes (the second part of "Higher Algebraic K-Theory
I”)… For any place v of K which is either real or non-Archimedean, if m(v) is the number of roots …

… Let X be an affine real algebraic variety, ie, up to biregular isomorphism an algebraic subset
of IR". (For definitions and notions of real algebraic geometry we refer the reader to the book …

… algebraic Ki 's were finally discovered; their existence and applicability have now justified the
name of the subject-algebraic K-theory… In fact, let A be the coordinate ring of the real sphere …

… respect to real and complex K-Theory. In particular we compare the spaces which are
acyclic for the real and complex K-… is equivalent to localization with respect to real KOA-homology …