MathOverflow

Let $n$ be a positive integer that is indivisible by $3$ and let $F$ be a cyclic group of roder $3$ inside a group $G$. We say that two cyclic groups, $A$ and $B$, of order $n$ inside $G$, are a $(F,n)$-product pair if the product set $A.B$ contains...

Let $(\Omega, \mathcal{A}, P)$ be a probability space and $X:(\Omega, \mathcal{A})\rightarrow (\mathcal{X}, \mathcal{F})$ a random variable. Let $P(\cdot|X)$ be a regular conditional probability and $P(\cdot|X=x)$ its factorization via the Doob Dynkin...

In the LMFDB, when we look at an abelian variety isogeny class over $\mathbb{F}_q$, it states that the class contains the Jacobians of $n$ curves and explicitly lists all of those curves. I was wondering how this is done. More precisely, given an abelian...

This is more of a softer/open question, since functional analysis and operator algebras are not my field. In non-commutative geometry, (unital) $C^*$-algebras are thought as formal duals of "non-commutative (compact) topological spaces", generalizing...