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
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1987, 1987
Edition:1st ed. 1987
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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505 0 |a Foliations of the plane -- Various trees and graphs -- Distinguished trees -- The C*-algebras of foliations of the plane 
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653 |a Algebraic topology 
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520 |a 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