Index Theory of Elliptic Operators Foliations and Operator Algebras is popular PDF and ePub book, written by Jerome Kaminker in 1988, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Index Theory of Elliptic Operators Foliations and Operator Algebras can be Read Online from any device for your convenience.
Index Theory of Elliptic Operators Foliations and Operator Algebras Book PDF Summary
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.
Detail Book of Index Theory of Elliptic Operators Foliations and Operator Algebras PDF
- Author : Jerome Kaminker
- Release : 20 September 1988
- Publisher : American Mathematical Soc.
- ISBN : 9780821850770
- Genre : Mathematics
- Total Page : 334 pages
- Language : English
- PDF File Size : 20,8 Mb
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