Toeplitz Matrices acting on the $\ell^2$-space of an imprimitivity bimodule

Beatriz Abadie

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arXiv · 2012.02868

Toeplitz Matrices acting on the $\ell^2$-space of an imprimitivity bimodule

Beatriz Abadie

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Abstract

We give a definition of Toeplitz matrix acting on the $\ell^2$-space of an imprimitivity bimodule $X$ over a $C^*$-algebra $A$. We characterize the set of Toeplitz matrices as the closure in a certain topology of the image of the left regular representation of the crossed product $A\rtimes X$.

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Beatriz Abadie. 2020-12-04. Toeplitz Matrices acting on the $\ell^2$-space of an imprimitivity bimodule. https://arxiv.org/abs/2012.02868

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