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- catalog abstract "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.".
- catalog contributor b829431.
- catalog created "1987.".
- catalog date "1987".
- catalog date "1987.".
- catalog dateCopyrighted "1987.".
- catalog description "Bibliography: p. [159]-161.".
- catalog description "Contents: Introduction -- Foliations of the plane -- Various trees and graphs -- Distinguished trees -- The C*-algebras of foliations of the plane -- Bibliography -- Notation and Symbols -- Subject Index.".
- catalog 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.".
- catalog extent "165 p. :".
- catalog hasFormat "On the C*-algebras of foliations in the plane.".
- catalog identifier "0387179038 (New York)".
- catalog identifier "3540179038 (Berlin)".
- catalog isFormatOf "On the C*-algebras of foliations in the plane.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1257.".
- catalog isPartOf "Lecture notes in mathematics ; 1257".
- catalog issued "1987".
- catalog issued "1987.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "On the C*-algebras of foliations in the plane.".
- catalog subject "Algebraic topology.".
- catalog subject "C*-algebras.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Foliations (Mathematics)".
- catalog subject "Manifolds (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1257 QA326".
- catalog subject "Topological dynamics.".
- catalog tableOfContents "Contents: Introduction -- Foliations of the plane -- Various trees and graphs -- Distinguished trees -- The C*-algebras of foliations of the plane -- Bibliography -- Notation and Symbols -- Subject Index.".
- catalog title "On the C*-algebras of foliations in the plane / Xiaolu Wang.".
- catalog type "text".