Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97) - Image 1

£92.77

Cambridge University Press Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)

Name: Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)
Brand: Cambridge University Press
Price: 90.28 GBP
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Algebra

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Product Description 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. Book Description This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory. About the Author Daniel G. Quillen proved Adam's conjecture in topological K-theory, and Serre's conjecture that all projective modules over a polynomial ring are free. He was awarded the Cole Prize in Algebra and the Fields Medal in 1978. He was Waynflete Professor of Pure Mathematics at the University of Oxford, where he lectured on K-theory and cyclic homology. Gordon Blower is Professor of Mathematical Analysis at Lancaster University, with interests in random matrices and applications of operator theory. He attended Quillen's lectures on cyclic theory when he was a junior researcher in Oxford.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1108479618
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 09 July 2020
Listed Since: 10 April 2020

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Cambridge University Press Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)

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