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 lowdimensional topology. It introduces noncommutative CWcomplexes (as the global fibred products of C*algebras), among other things, which adds a new aspect to the fastgrowing 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.
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 lowdimensional topology. It introduces noncommutative CWcomplexes (as the global fibred products of C*algebras), among other things, which adds a new aspect to the fastgrowing 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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