Algebraic K-Theory and Its Applications - Ebook written by Jonathan Rosenberg. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Algebraic K-Theory and Its the5thsense.com: Jonathan Rosenberg. In algebraic K-theory, the K-theory of a category C (usually equipped with some kind of additional data) is a sequence of abelian groups K i (C) associated to the5thsense.com C is an abelian category, there is no need for extra data, but in general it only makes sense to speak of K-theory after specifying on C a structure of an exact category, or of a Waldhausen category, or of a dg-category, or. Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in the5thsense.com: $ An Introduction to K-theory by Eric M. Friedlander The author's objective was to provide participants of the Algebraic K-theory Summer School an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible with little or no prior knowledge of the subject.

In mathematics, topological K-theory is a branch of algebraic the5thsense.com was founded to study vector bundles on topological spaces, by means of ideas now recognised as (general) K-theory that were introduced by Alexander the5thsense.com early work on topological K-theory is due to Michael Atiyah and Friedrich Hirzebruch. Quillen's "Higher Algebraic K-Theory I" is probably the best source for understanding the basics and the original intuition. Thomason/Trobaugh is also an excellent paper, but it is a fairly large paper and very fundamental (so the first half of the paper is dedicated to construction of the basic objects). Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. Get this from a library! Algebraic K-theory. [Victor P Snaith; Robert Wayne Thomason;] -- The conference proceedings volume is produced in connection with the second Great Lakes K-theory Conference that was held at The Fields Institute for Research in Mathematical Sciences in .

$\begingroup$ You wrote that Weibel calls it "the fundamental theorem of algebraic K-theory," but that theorem already had that name in Quillen's "Higher algebraic K-theory I." The theorem establishes that the K-theory of a regular ring R agrees with the K-thy of R[t]; in other words, algebraic K-thy is A^1-invariant on regular rings. About references to books on algebraic K-theory, I recommend this books. Bruce A. Magurn, An Introduction to Algebraic K - Theory, Cambridge, Jonathan Rosenberg, Algebraic K -theory and Its Applications, Springer, In addition, you can use the material that has developed Prof. Kathryn Hess Bellwald on this link. Download Limit Exceeded You have exceeded your daily download allowance.