Actions of compact groups, C*-index theorem, and families
by
Evgenij Troitsky
Moscow State University

We prove the index theorem for elliptic operators acting on sections of bundles where fiber is equal to a projective module over a C*-algebra, in the situation of action of a compact Lie group on this algebra as well as on the total space commuting with symbol. For this purpose we prove in particular the correspondent Thom isomorphism theorem. As an application the equivariant family index theorem for a direct product of base by the space of parameters is obtained.

The work is partially supported by the RFBR grant N 99-01-01201.

[1] Troitsky E.V. Äctions of compact groups, C*-index theorem, and families". Preprint xxx.lanl.gov/math.OA/9904002.

Paper reference: arXiv:math.OA/9904002

Date received: June 2, 1999