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On the C*-algebras of foliations in the plane / Xiaolu Wang.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1257.Publication details: Berlin ; New York : Springer-Verlag, ©1987.Description: 1 online resource (165 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540479154
  • 3540479155
Subject(s): Additional physical formats: Print version:: On the C*-algebras of foliations in the plane.DDC classification:
  • 510 s 512/.55 19
LOC classification:
  • QA3 .L28 no. 1257 QA326
Other classification:
  • *46L80
  • 46L55
  • 46M20
  • 57R30
  • SI 850
  • 27
  • MAT 467f
  • 46L80
Online resources:
Contents:
Introduction -- Foliations of the plane -- Various trees and graphs -- Distinguished trees -- The C*-algebras of foliations of the plane -- Bibliography -- Notation and Symbols -- Subject Index.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 159-161) and index.

Introduction -- Foliations of the plane -- Various trees and graphs -- Distinguished trees -- The C*-algebras of foliations of the plane -- Bibliography -- Notation and Symbols -- Subject Index.

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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.

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

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. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

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