|
|||||
 |
|
|
|
The
Godbillon–Vey invariant and equivariant $KK$-theory
Lachlan MacDonald and Adam Rennie |
|
Vol. 5 (2020), No. 2, 249–294
|
Abstract |
|
We construct a groupoid equivariant Kasparov class for transversely oriented foliations in all codimensions. In codimension 1 we show that the Chern character of an associated semifinite spectral triple recovers the Connes–Moscovici cyclic cocycle for the Godbillon–Vey secondary characteristic class. |
PDF Access Denied
We have not been able to recognize your IP address
216.73.216.99
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
foliation, Godbillon–Vey, bivariant $K$-theory,
equivariant, spectral triple
|
Mathematical Subject Classification 2010
Primary: 19K35
|
Milestones
Received: 23 November 2018
Revised: 21 October 2019
Accepted: 13 November 2019
Published: 20 June 2020
|
Authors |
| Lachlan MacDonald | |
| School of Mathematics and Applied
Statistics University of Wollongong Wollongong, NSW Australia |
|
| Adam Rennie | |
| School of Mathematics and Applied
Statistics University of Wollongong Wollongong, NSW Australia |
|
