6 problems

Let ${\mathcal D}$ be a $C^{\ast}$-algebra describing a noncommutative spacetime, with the associated Topological T-duality construction and purely infinite fibers. D-brane charge…

Let $(E,h)$ and $(\hat E,\hat h)$ be T-dual pairs of a $\mathbb{Z}/2$-equivariant circle bundle and a Real circle bundle, with twists $h\in H^3_\pm(E)$ and…

Let $X$ be a space with a $\mathbb{Z}/2$-action. A T-dual pair consists of a pair $(E,h)$, where $\mathbb{Z}/2$ acts equivariantly on the circle bundle $pi:E\to X$ and…

T-duality coset conjecture. Each coset is precisely the collection of $b$-fields with the same T-dual, even when the base space is not simply connected. Thus, modulo the indicated…

Let $X$ be a space with an $S^1$-action, and let $\operatorname{Br}_{{\mathbb R}\times{\mathbb Z}}(X)$ denote the equivariant Brauer group associated with the corresponding dynamic…

Let $X$ and $X^{\#}$ be T-dual spaces over a common base $W$, with correspondence space $X\times_W X^{\#}$. Let $\mathcal{T}$ be the $C^{\ast}$-algebra naturally associated to the…