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On the C*-Algebras of Foliations in the Plane

  • Book
  • © 1987

Overview

Authors:
  1. Xiaolu Wang
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1257)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-V
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  2. Introduction

    • Xiaolu Wang
    Pages 1-9

  3. Foliations of the plane

    • Xiaolu Wang
    Pages 10-34

  4. Various trees and graphs

    • Xiaolu Wang
    Pages 35-52

  5. Distinguished trees

    • Xiaolu Wang
    Pages 53-110

  6. The C*-algebras of foliations of the plane

    • Xiaolu Wang
    Pages 111-158

  7. Back Matter

    Pages 159-165
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: On the C*-Algebras of Foliations in the Plane

  • Authors: Xiaolu Wang

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0077985

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-17903-0Published: 20 May 1987

  • eBook ISBN: 978-3-540-47915-4Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 170

  • Topics: Algebraic Topology

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