On the C*-algebras of foliations in the plane
By: Xiaolu Wang.
Series: Lecture notes in mathematics ;; 1257; Lecture notes in mathematics (Springer-Verlag) ;; 1257.
Publisher: Springer-Verlag
Published: 1987
Place of publication: Berlin; New York
Language: eng
Number of pages: 165
Subjects: C*-algebras.; Foliations (Mathematics); Differentiable dynamical systems.
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.
Notes: Bibliography: p. [159]-161.
Includes index.