论文标题
非潜水$ c^{*} $ - 类别，（CO）限制，交叉产品和精确性
Non-unital $C^{*}$-categories, (co)limits, crossed products and exactness
论文作者
论文摘要
我们为（可能是非突出）$ \ mathbb {c} $ - 线性$*$ - 类别或$ c^{*} $类别的类别的基本类别属性提供了参考。通过$ g $ Action概括了代数的经典案例，我们将交叉产品的构造扩展到了$ g $ Action的类别。我们将表明，交叉产品函子保留了精确的序列和散热正方形，并将弱等价传递到等价。
We provide a reference for basic categorial properties of the categories of (possibly non-unital) $\mathbb{C}$-linear $*$-categories or $C^{*}$-categories, and (not necessarily unit-preserving) functors. Generalizing the classical case of algebras with $G$-action, we extend the construction of crossed products to categories with $G$-action. We will show that the crossed product functor preserves exact sequences and excisive squares and sends weak equivalences to equivalences.
