2 edition of **Algebraic K-theory.** found in the catalog.

Algebraic K-theory.

Hyman Bass

- 127 Want to read
- 38 Currently reading

Published
**1968**
by W. A. Benjamin in New York
.

Written in English

- K-theory.,
- Modules (Algebra),
- Rings (Algebra)

**Edition Notes**

Includes bibliographical references.

Series | Mathematics lecture note series |

Classifications | |
---|---|

LC Classifications | QA169 .B35 |

The Physical Object | |

Pagination | xix, 762 p. |

Number of Pages | 762 |

ID Numbers | |

Open Library | OL16411064M |

Dec 01, · Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number capitolchamberartists.com: Hvedri Inassaridze. From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis.

Jan 01, · An Algebraic Introduction to K-Theory book. Read reviews from world’s largest community for readers. This book is both an introduction to K-theory and a 4/5(1). Almost the same question was already asked on MO Motivation for algebraic K-theory? However, to my taste, the answers there consider the subject from a more modern point of view. When I open a book on algebraic K-theory (I am not an expert) I see various complicated very ingenious constructions which become equivalent for mysterious (to me.

\(K\)-theory of elliptic and modular curves. Theory of motives, motivic cohomology, Beilinson conjectures. Algebraic \(K\)-theory of topological spaces, topological Hochschild homology and cyclic homology. With contributions by some leading experts in the field, this book provides a look at the state of current research in algebraic \(K\)-theory. Read "Algebraic K-theory of Crystallographic Groups The Three-Dimensional Splitting Case" by Daniel Scott Farley available from Rakuten Kobo. The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group Brand: Springer International Publishing.

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In I wrote out a brief outline, following Quillen's paper Higher algebraic K-theory I. It was overwhelming. I talked to Hy Bass, the author of the classic book Algebraic K-theory, about what would be involved in writing such a book. It was scary, because (in ) I didn't know even how to write a book.

The K-Book: An Introduction to Algebraic K-theory (Graduate Studies in Mathematics) by Charles A. Weibel | Jun 18, Hardcover $ $ Get it as soon as Fri, Aug 2. FREE Shipping by Amazon. Only 4 left in stock (more on the way). More Buying Choices $ (14 used.

Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number capitolchamberartists.comric, algebraic, and arithmetic objects are assigned objects called capitolchamberartists.com are groups in the sense of abstract capitolchamberartists.com contain detailed information about the original object but are notoriously difficult to compute; for example, an important outstanding.

The K-Book: An Introduction to Algebraic K-Theory (Graduate Studies in Mathematics) [Charles A. Weibel] on capitolchamberartists.com *FREE* shipping on qualifying offers. Informally, K-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the Cited by: In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or capitolchamberartists.com algebraic topology, it is a cohomology theory known as topological capitolchamberartists.com algebra and algebraic geometry, it is referred to as algebraic capitolchamberartists.com is also a fundamental tool in the field of operator capitolchamberartists.com can be seen as the study of certain kinds of.

Jun 13, · Charles Weibel's 'K-book' offers a plethora of material from both classical and more recent algebraic K-theory. It is a perfect source book for seasoned graduate students and working researchers who are willing and eager to follow the author's expository path and who are ready for a lot of additional reading and self-reliant work.

And is there material (lecture Video or good pdf script) where the algebraic K-theory is explained. Nothing very accessible for algebraic K-theory. Blackadar's book for K-theory of operator algebras, and Atiyah's book for topological K-theory as it stood in the 's. I'm looking for a big-picture treatment of algebraic K-theory and why it's important.

I've seen various abstract definitions (Quillen's plus and Q constructions, some spectral constructions like Waldhausen's) and a lot of work devoted to calculation in special cases, e.g., extracting information about K-theory from Hochschild and cyclic homology. Lectures On K theory.

This book covers the following topics: Topological K-Theory, Topological Preliminaries on Vector Bundles, Homotopy, Bott Periodicity and Cohomological Properties, Chern Character and Chern Classes, Analytic K-Theory, Applications of Adams operations, Higher Algebraic K-Theory, Algebraic Preliminaries and the the Grothendieck Group, The Whitehead and the Steinberg.

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 mathematics.

The book is based on lectures given at the author'sAuthor: Vasudevan Srinivas. Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively.

Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is.

Algebraic Topology. This book, published inis a beginning graduate-level textbook on algebraic topology from a fairly classical point of view.

To find out more or to download it in electronic form, follow this link to the download page. Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0 ∧ or K1 ∧ respectively.

Professor Milnor sets out, in the present work, to define and study an analogous functor. 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 Brand: Springer-Verlag New York.

Sep 05, · The book, somewhat playfully titled The K-book, starts off in Weibel’s appealing no-nonsense style: “Algebraic K-theory has two components: the classical theory which centers around the Grothendieck group of a category and uses explicit algebraic presentations and higher algebraic K-theory which requires topological or homological.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number capitolchamberartists.coms of algebraic K-theory are actively used in algebra and related fields, achieving interesting results.

This book presents the elements of algebraic K-theory, based Author: Hvedri Inassaridze. 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. This book, based on a course at the University of Maryland in the fall ofis intended to enable graduate 5/5(1). A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained.

American Mathematical Society · Charles Street Providence, Rhode Island · or AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S.

Patent and Trademark Cited by: Introduction To K theory and Some Applications. This book explains the following topics: Topological K-theory, K-theory of C* algebras, Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory, Higher Dimensional Class Groups of Orders and Group rings, Higher K-theory of Schemes, Mod-m Higher K-theory of exact Categories, Schemes.

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 capitolchamberartists.com: Jonathan Rosenberg.Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.

Thus, this.Jun 24, · Algebraic K-Theory and Its Applications book. Read reviews from world’s largest community for readers. Algebraic K-Theory plays an important role in many /5(2).