On the C*-Algebras of Foliations in the Plane - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the C*-Algebras of Foliations in the Plane write by Xiaolu Wang. This book was released on 2006-11-15. On the C*-Algebras of Foliations in the Plane available in PDF, EPUB and Kindle. 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.
Index Theory of Elliptic Operators, Foliations, and Operator Algebras
Index Theory of Elliptic Operators, Foliations, and Operator Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Index Theory of Elliptic Operators, Foliations, and Operator Algebras write by Jerome Kaminker. This book was released on 1988. Index Theory of Elliptic Operators, Foliations, and Operator Algebras available in PDF, EPUB and Kindle. Combining analysis, geometry, and topology, this volume provides an introduction to current ideas involving the application of $K$-theory of operator algebras to index theory and geometry. In particular, the articles follow two main themes: the use of operator algebras to reflect properties of geometric objects and the application of index theory in settings where the relevant elliptic operators are invertible modulo a $C^*$-algebra other than that of the compact operators. The papers in this collection are the proceedings of the special sessions held at two AMS meetings: the Annual meeting in New Orleans in January 1986, and the Central Section meeting in April 1986. Jonathan Rosenberg's exposition supplies the best available introduction to Kasparov's $KK$-theory and its applications to representation theory and geometry. A striking application of these ideas is found in Thierry Fack's paper, which provides a complete and detailed proof of the Novikov Conjecture for fundamental groups of manifolds of non-positive curvature. Some of the papers involve Connes' foliation algebra and its $K$-theory, while others examine $C^*$-algebras associated to groups and group actions on spaces.
Canadian Journal of Mathematics
Canadian Journal of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Canadian Journal of Mathematics write by . This book was released on 1990-08. Canadian Journal of Mathematics available in PDF, EPUB and Kindle.
On the C*-algebras of a Family of Solvable Lie Groups and Foliations
On the C*-algebras of a Family of Solvable Lie Groups and Foliations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the C*-algebras of a Family of Solvable Lie Groups and Foliations write by Xiaolu Wang. This book was released on 1986. On the C*-algebras of a Family of Solvable Lie Groups and Foliations available in PDF, EPUB and Kindle.
Abstracts of Papers Presented to the American Mathematical Society
Abstracts of Papers Presented to the American Mathematical Society - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Abstracts of Papers Presented to the American Mathematical Society write by American Mathematical Society. This book was released on 2002. Abstracts of Papers Presented to the American Mathematical Society available in PDF, EPUB and Kindle.
