Equivariant spectral flow and a Lefschetz theorem on odd-dimensional spin manifolds (Q2496553)

The present paper furnishes a heat kernel proof of an equivariant index theorem on odd-dimensional spin manifolds for Toeplitz operators by resorting to the newly introduced notion of equivariant spectral flow. The author closely follows the same steps leading to a proof in the ordinary case, namely the Booß-Wojciechowski identification of the index of a Toeplitz operator with the spectral flow of a certain family of self-dual elliptic operators with positive order, plus evaluation of the latter via variation of the \(\eta\)-invariant, via local index theorem techniques. The paper is quite readable and well written.