On the C*-Algebras of Foliations in the Plane

  • Authors
  • Xiaolu Wang

Part of the Lecture Notes in Mathematics book series (LNM, volume 1257)

Table of contents

  1. Front Matter
    Pages I-V
  2. Xiaolu Wang
    Pages 1-9
  3. Xiaolu Wang
    Pages 10-34
  4. Xiaolu Wang
    Pages 35-52
  5. Xiaolu Wang
    Pages 53-110
  6. Xiaolu Wang
    Pages 111-158
  7. Back Matter
    Pages 159-165

About this book

Introduction

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.

Keywords

Area C*-algebra DEX class classification commutative property development foliation function functional functional analysis geometry graphs knowledge topology

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0077985
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17903-0
  • Online ISBN 978-3-540-47915-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book