ENGLISH

On the C*-Algebras of Foliations in the Plane

By Xiaolu Wang (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1987
ISBN
9780387179032, 0-387-17903-8
DOI
10.1007/BFb0077985
LCC
QA3 .L28 no. 1257,QA326 .L28 no. 1257
Open Library ID
OL2471488M
Language
english
Format
DJVU
Filesize
1 MB (1076820 bytes)
Series
Lecture Notes in Mathematics 1257
Edition
1
Pages
170\173
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11
Algebraic Topology

Description

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.

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