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arXiv · 2312.11827

Isometries between groups of invertible elements in Fourier-Stieltjes algebras

Osamu Hatori·Shiho Oi
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Abstract

We prove that if open subgroups of the groups of invertible elements in two Fourier-Stieltjes algebras are isometric as metric spaces, then the underlying locally compact groups are topologically isomorphic. We describe the structure of isometric real algebra isomorphisms between Fourier-Stieltjes algebras and apply it to prove the above result.

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Osamu Hatori, Shiho Oi. 2023-12-19. Isometries between groups of invertible elements in Fourier-Stieltjes algebras. https://arxiv.org/abs/2312.11827

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