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The Noncommutative Infinitesimal Equivariant Index Formula

Published online by Cambridge University Press:  03 July 2014

Yong Wang
Yong Wang*
Affiliation:
School of Mathematics and Statistics, Northeast Normal University, Changchun Jilin, 130024, China, wangy581@nenu.edu.cn
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Abstract

In this paper, we establish an infinitesimal equivariant index formula in the noncommutative geometry framework using Greiner's approach to heat kernel asymptotics. An infinitesimal equivariant index formula for odd dimensional manifolds is also given. We define infinitesimal equivariant eta cochains, prove their regularity and give an explicit formula for them. We also establish an infinitesimal equivariant family index formula and introduce the infinitesimal equivariant eta forms as well as compare them with the equivariant eta forms.

Keywords

Infinitesimal equivariant Chern-Connes charactersinfinitesimal equivariant eta cochainsinfinitesimal equivariant family indexinfinitesimal equivariant eta forms58J2019K56

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Type
Research Article
Information
Journal of K-Theory , Volume 14 , Issue 1 , August 2014 , pp. 73 - 102
Copyright
Copyright © ISOPP 2014 

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References

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