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arXiv · 1508.04710

Dixmier Trace for Toeplitz Operators on Symmetric Domains

Harald Upmeier·Kai Wang
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Abstract

For Toeplitz operators on bounded symmetric domains of arbitrary rank, we define a Hilbert quotient module corresponding to partitions of length $1$ and prove that it belongs to the Macaev class ${\mathcal{L}}^{n,\infty}$. We next obtain an explicit formula for the Dixmier trace of Toeplitz commutators in terms of the underlying boundary geometry.

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Harald Upmeier, Kai Wang. 2015-08-19. Dixmier Trace for Toeplitz Operators on Symmetric Domains. https://arxiv.org/abs/1508.04710

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