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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Lizhen Ji; Kefeng Liu; Shing-Tung Yau |

ISBN: | 1571461442 9781571461445 |

OCLC Number: | 612915410 |

Description: | ii, 517 p. : ill. ; 26 cm. |

Contents: | Machine generated contents note: On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory / Arthur Bartels and Wolfgang Luck -- Deformation Spaces for Affine Crystallographic Groups / Oliver Baues -- Lectures on the Cohomology of Groups / Kenneth S. Brown -- A Brief Introduction to Algebraic K-Theory / Daniel R. Grayson -- The Braid Groups of RP2 Satisfy the Fibered Isomorphism Conjecture / Daniel Juan-Pineda and Silvia Millan-López -- K-Theory, an Elementary Introduction / Max Karoubi -- Lectures on K-Theory / Max Karoubi -- On the Farrell-Jones and Related Conjectures / Wolfgang Lück -- Introduction to Controlled Topology and Its Applications / Stratos Prassidis -- Lecture Notes on K-Theory / Hourong Qin -- Higher Algebraic K-Theory: I / Daniel Quillen -- Finite Generation of the Groups Ki of Rings of Algebraic Integers / Daniel Quillen -- A User's Guide to Continuously Controlled Algebra / David Rosenthal. |

Series Title: | Advanced lectures in mathematics. |

Responsibility: | Lizhen Ji, Kefeng Liu, and Shing-Tung Yau, editors |

### Abstract:

Cohomology of Groups and Algebraic K-theory.

Cohomology of groups is a fundamental tool in many subjects of modern mathematics. One important generalized cohomology theory is the algebraic K-theory. Indeed, algebraic K-groups of rings are important invariants of the rings and have played important roles in algebra, topology, number theory, etc. This volume consists of expanded lecture notes from a 2007 seminar at Zhejiang University in China, at which several leading experts presented introductions, to and surveys of, many aspects of cohomology of groups and algebraic K-theory, along with their broad applications. Two foundational papers on algebraic K-theory by Daniel Quillen are also included. --Book Jacket.

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by ucbmathlib updated 2011-02-28