10% off all books and free delivery over £40
Buy from our bookstore and 25% of the cover price will be given to a school of your choice to buy more books. *15% of eBooks.

Index Theory for Locally Compact Noncommutative Geometries

View All Editions (1)

The selected edition of this book is not available to buy right now.
Add To Wishlist
Write A Review

About

Index Theory for Locally Compact Noncommutative Geometries Synopsis

Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, the authors prove the local index formula for spectral triples over nonunital algebras, without the assumption of local units in our algebra. This formula has been successfully used to calculate index pairings in numerous noncommutative examples. The absence of any other effective method of investigating index problems in geometries that are genuinely noncommutative, particularly in the nonunital situation, was a primary motivation for this study and the authors illustrate this point with two examples in the text.

In order to understand what is new in their approach in the commutative setting the authors prove an analogue of the Gromov-Lawson relative index formula (for Dirac type operators) for even dimensional manifolds with bounded geometry, without invoking compact supports. For odd dimensional manifolds their index formula appears to be completely new.

About This Edition

ISBN: 9780821898383
Publication date:
Author: Alan L Carey, V Gayral, A Rennie, F A Sukochev
Publisher: American Mathematical Society
Format: Paperback
Pagination: 130 pages
Series: Memoirs of the American Mathematical Society
Genres: Algebraic geometry
Algebra