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arXiv · 2001.08294

On the structure of invertible elements in certain Fourier-Stieltjes algebras

Aasaimani Thamizhazhagan
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Abstract

For a locally compact abelian group $G$, J. L. Taylor (1971) gave a complete characterization of invertible elements in the measure algebra $M(G)$. Using the Fourier-Stieltjes transform, this characterization can be carried out in the context of Fourier-Stieltjes algebras $B(G)$. We obtain this latter characterization for the Fourier-Stieltjes algebra $B(G)$ of certain classes of locally compact groups, in particular, many totally minimal groups and the $ax+b$-group.

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Aasaimani Thamizhazhagan. 2020-01-22. On the structure of invertible elements in certain Fourier-Stieltjes algebras. https://arxiv.org/abs/2001.08294

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