On the C*-Algebras of Foliations in the Plane (eBook, PDF)
Xiaolu Wang
eBook, PDF

On the C*-Algebras of Foliations in the Plane (eBook, PDF)

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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 ...

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