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VOL. 37 | 1999 Spectral flow in Breuer-Fredholm modules
A.L. Carey, John Phillips

Editor(s) Tim Cranny, Bevan Thompson


This review discusses work in progress and related earlier studies by many authors. We have attempted to place our results in their broadcontext beginning with the $L^2$ index theorem of Atiyah and Singer, subsequent extensions and the motivation for our results and conjectures. The geometric setting is the analysis of $L^2$ invariants of non-compact covering spaces, several of which are not present (or are trivial) on compact mamfolds. These invariants use the von Neumann algebra of the covering transformation group in an essential way.


Published: 1 January 1999
First available in Project Euclid: 18 November 2014

zbMATH: 1193.58011

Rights: Copyright © 1999, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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