On the C*-Algebras of Foliations in the Plane (Lecture Notes in Mathematics, #1257) (Lecture Notes in Control and Information Sciences, #1257)

by Xiaolu Wang

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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.
  • ISBN13 9783540179030
  • Publish Date 20 May 1987
  • Publish Status Active
  • Publish Country DE
  • Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Edition 1987 ed.
  • Format Paperback
  • Pages 170
  • Language English