All Questions

Dirac operators on compact manifolds seem to have been studied well, such as in this book and also this one. However, I cannot easily find comprehensive treatment of Dirac operators coupled to gauge ...

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 ...

Let $\beta \mathbb{N}$ be the Stone Cech compactification of the natural numbers and let $ x\in \beta \mathbb{N}$. Is it true that there exists a sequence of open sets $\{U_n\}_{n=1}^\infty$ in $\beta ...

I want to ask a question that arises from reading this paper. Let $X$ be a locally compact space which is countable at infinity and let $\xi$ be a Radon measure on $X$. Suppose $V$ is a Hilbert ...

Let $S$ be the set of non-negative rational numbers. (If it makes any difference, feel free to take the non-negative dyadic rationals instead.) Let $B=\ell_\infty(S)$; as a ${\rm C}^*$-algebra this is ...

I'm a little embarassed that I can't answer this myself, so hopefully it will get answered very quickly. Let $X$ be locally compact, Hausdorff. Consider $\text{C}_\text{b}(X)$ the $C^*$-algebra of ...