Topics in Cyclic Theory
(Part of the London Mathematical Society Student Texts Series)
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Book Overview
Noncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses on cyclic theory, and is based upon the lecture courses by Daniel G. Quillen at the University of Oxford from 1988-92, which developed his own approach to the subject. The basic definitions, examples and exercises provided here allow non-specialists and students with a background in elementary functional analysis, commutative algebra and differential geometry to get to grips with the subject. Quillen's development of cyclic theory emphasizes analogies between commutative and noncommutative theories, in which he reinterpreted classical results of Hamiltonian mechanics, operator algebras and differential graded algebras into a new formalism. In this book, cyclic theory is developed from motivating examples and background towards general results. Themes covered are relevant to current research, including homomorphisms modulo powers of ideals, traces on noncommutative differential forms, quasi-free algebras and Chern characters on connections.
Format:Paperback
Language:English
ISBN:1108790445
ISBN13:9781108790444
Release Date:August 2020
Publisher:Cambridge University Press
Length:328 Pages
Weight:1.00 lbs.
Dimensions:0.7" x 6.2" x 8.9"
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