Global Analysis on Foliated Spaces /
This book develops a variety of aspects of analysis and geometry on foliated spaces which should be useful in many situations. These strands are then brought together to provide a context and to expose Connes` index theorem for foliated spaces, a theorem which asserts the equality of the analytic an...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1988.
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| Series: | Mathematical Sciences Research Institute publications ;
9. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book develops a variety of aspects of analysis and geometry on foliated spaces which should be useful in many situations. These strands are then brought together to provide a context and to expose Connes` index theorem for foliated spaces, a theorem which asserts the equality of the analytic and the topological index (two real numbers) which are associated to a tangentially elliptic operator. An additional purpose of this exposition is preparing the way towards the more general index theorem of Connes and Skandalis. This index theorem describes the abstract index class in KO (CR*(G(M))), the index group of the C*-algebra of the foliated space, and is necessarily substantially more abstract, while the tools used here are relatively elementary and straightforward, and are based on the heat equation method. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (vii, 337 pages 16 illustrations) |
| ISBN: | 9781461395928 (electronic bk.) 1461395925 (electronic bk.) |
| ISSN: | 0940-4740 ; |