On the index of equivariant Toeplitz operators

U. Bunke

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On the index of equivariant Toeplitz operators

U. Bunke

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Abstract

The goal is to understand the index-theoretic aspects of the recent preprint of R. Nest and F. Radulescu, math.OA/9911042. The basic observation (due to E. Guenter/N. Higson) is that the index of the Toeplitz operator is equal to the index of an associated Callias type operator, i.e. a Dirac operator with potential, the index of which is easy to compute. We show how to extend this idea to the equivariant case.

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U. Bunke. 1999-11-23. On the index of equivariant Toeplitz operators. https://arxiv.org/abs/math/9911177

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