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

Libro 80 de 83: London Mathematical Society Student Texts

Quillen, Daniel G.

 
9781108790444: Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)
Tapa blanda
ISBN 10: 1108790445 ISBN 13: 9781108790444
Editorial: Cambridge University Press, 2020

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca de los autores

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Cambridge University Press
Año de publicación
2020
Idioma
Inglés
ISBN 10 
1108790445
ISBN 13 
9781108790444
Encuadernación
Tapa blanda
Número de páginas
332
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia

Otras ediciones populares con el mismo título

9781108479615: Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)

Edición Destacada

ISBN 10:  1108479618 ISBN 13:  9781108479615
Editorial: Cambridge University Press, 2020
Tapa dura