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On the C-Algebras of Foliations in the Plane

✍ Scribed by Xiaolu Wang

Book ID
127406522
Publisher
Springer
Year
1987
Tongue
English
Weight
815 KB
Series
Lecture Notes in Mathematics
Edition
1
Category
Library
ISBN-13
9783540179030

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

On the C*-Algebras of Foliations in the
On the C*-Algebras of Foliations in the Plane
✍ Xiaolu Wang (auth.) πŸ“‚ Library πŸ“… 1987 πŸ› Springer 🌐 English βš– 1 MB

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 noncommutati