论文标题
非交通型和等效的压实
Non-commutative ambits and equivariant compactifications
论文作者
论文摘要
我们证明了一个动作$ρ： $ρ$和$ a $分别是本地表现的（因此完整且完整），他们之间的健忘函数是创造巨大的左伴随的左伴随，而其中的表达是汇总的，注射是常规的单态。 当$ \ mathbb {g} $是常规的coamenable时，我们还表明，来自unital $ \ mathbb {g} $ - $ c^*$的健忘函数到unital $ c^*$ - 代数 - 代数 - 代数会创建有限限制，并且是comonadic的，并且是oronomorphisms and Monomorphisms inthonomorphisms inthonorphisms Inter-Ondecrive in Imendive in Imendive。
We prove that an action $ρ:A\to M(C_0(\mathbb{G})\otimes A)$ of a locally compact quantum group on a $C^*$-algebra has a universal equivariant compactification, and prove a number of other category-theoretic results on $\mathbb{G}$-equivariant compactifications: that the categories compactifications of $ρ$ and $A$ respectively are locally presentable (hence complete and cocomplete), that the forgetful functor between them is a colimit-creating left adjoint, and that epimorphisms therein are surjective and injections are regular monomorphisms. When $\mathbb{G}$ is regular coamenable we also show that the forgetful functor from unital $\mathbb{G}$-$C^*$-algebras to unital $C^*$-algebras creates finite limits and is comonadic, and that the monomorphisms in the former category are injective.
