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1 answer
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Mismatch between equivalent definitions of the Bohr compactification of the reals

I feel I'm overlooking something very silly. The Bohr compactification of $\mathbb R$ has two equivalent definitions. The set of (possibly discontinuous) homomorphisms $\mathbb R \to \mathbb T$ under ...
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3 votes
0 answers
103 views

How wild is the maximal ideal space of the Fourier-Stieltjes algebra of the real line?

The Fourier-Stieltjes algebra of $\mathbb R$ is the set of all sufficiently nice measures on $\mathbb R$. The vector product is convolution of measures. By identifying each measure with its Fourier ...
Daron's user avatar
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2 votes
1 answer
304 views

Can we Characterise Rings of Continuous Functions?

Suppose $K$ is some nice space, for example $\mathbb R$ or $\mathbb C$. Let $X$ be a set and $C$ a ring of functions $X \to K$. Is there any way to determine, from the algebraic structure of $C$, ...
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