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Toeplitz C*-algebras on boundary orbits of symmetric domains

Misra, G and Upmeier, H (2020) Toeplitz C*-algebras on boundary orbits of symmetric domains. In: Operator Theory: Advances and Applications, 279 . pp. 307-341.

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Official URL: https://dx.doi.org/10.1007/978-3-030-44651-2_19


We study Toeplitz operators on Hilbert spaces of holomorphic functions on symmetric domains, and more generally on certain algebraic subvarieties, determined by integration over boundary orbits of the underlying domain. The main result classifies the irreducible representations of the Toeplitz C*-algebra generated by Toeplitz operators with continuous symbol. This relies on the limit behavior of �hypergeometric� measures under certain peaking functions. © Springer Nature Switzerland AG 2020.

Item Type: Journal Article
Publication: Operator Theory: Advances and Applications
Publisher: Springer
Additional Information: The copyright of this article belongs to Springer
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 10 Nov 2020 09:55
Last Modified: 10 Nov 2020 09:55
URI: http://eprints.iisc.ac.in/id/eprint/66703

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