All Questions

Is it possible to explicitly describe the Bohr compactification of $\mathbb Z$? This is equivalent to describing all the group homomorphisms $\mathbb R/\mathbb Z \to \mathbb R/\mathbb Z$ including ...

The topological ring of finite adeles $\mathbb A \cong \hat{\mathbb Z} \otimes \mathbb Q$ is self-Pontrjagin dual with self-dual Schwartz–Bruhat functional $\mathbb 1_{\hat{\mathbb Z}}$. This ...