Actions of compact groups, C*-index theorem, and families

Evgenij V. Troitsky

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arXiv · math/9904002

Actions of compact groups, C*-index theorem, and families

Evgenij V. Troitsky

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Abstract

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. As an application the equivariant index theorem for families over the direct product of base by the space of parameters is obtained.

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BibTeX RIS

Evgenij V. Troitsky. 1999-04-01. Actions of compact groups, C*-index theorem, and families. https://arxiv.org/abs/math/9904002

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