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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.
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Previews available in: English
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Edition | Availability |
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1
On the C*-Algebras of Foliations in the Plane
2006, Springer London, Limited
in English
3540479155 9783540479154
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2
On the C*-algebras of foliations in the plane
1987, Springer-Verlag
in English
0387179038 9780387179032
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Edition Notes
Bibliography: p. [159]-161.
Includes index.
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- Created April 1, 2008
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