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The
Godbillon–Vey invariant and equivariant $KK$-theory
Lachlan MacDonald and Adam Rennie |
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Vol. 5 (2020), No. 2, 249–294
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Abstract |
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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. |
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Keywords
foliation, Godbillon–Vey, bivariant $K$-theory,
equivariant, spectral triple
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Mathematical Subject Classification 2010
Primary: 19K35
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Milestones
Received: 23 November 2018
Revised: 21 October 2019
Accepted: 13 November 2019
Published: 20 June 2020
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Authors |
| Lachlan MacDonald | |
| School of Mathematics and Applied
Statistics University of Wollongong Wollongong, NSW Australia |
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| Adam Rennie | |
| School of Mathematics and Applied
Statistics University of Wollongong Wollongong, NSW Australia |
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