On the C*-algebras of foliations in the plane /

The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees. It reveals a close connection between some most recent developments in modern analysis and low-dimensional topology. It introduces noncommutativ...

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Bibliographic Details
Main Author: Wang, Xiaolu
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1987]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1257.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees. It reveals a close connection between some most recent developments in modern analysis and low-dimensional topology. It introduces noncommutative CW-complexes (as the global fibred products of C*-algebras), among other things, which adds a new aspect to the fast-growing field of noncommutative topology and geometry. The reader is only required to know basic functional analysis. However, some knowledge of topology and dynamical systems will be helpful. The book addresses graduate students and experts in the area of analysis, dynamical systems and topology.
Item Description:Electronic resource.
Physical Description:1 online resource (165 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages [159]-161) and index.
ISBN:9783540479154 (electronic bk.)
3540479155 (electronic bk.)
ISSN:0075-8434 ;