Twisted longitudinal index theorem for foliations and wrong way functoriality

Rouse, Paule Carillo; Wang, Bai-Ling

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Twisted longitudinal index theorem for foliations and wrong way functoriality

Date

2011

Authors

Rouse, Paule Carillo

Wang, Bai-Ling

Publisher

Academic Press

Abstract

For a Lie groupoid G with a twisting σ (a PU(H)-principal bundle over G), we use the (geometric) deformation quantization techniques supplied by Connes tangent groupoids to define an analytic index morphism. in twisted K-theory. In the case the twisting