作用的范畴Landstad对偶
Categorical Landstad duality for actions
摘要：
证明了局部紧群G在C* 代数上的作用范畴A（G）（具有等变非退化 *-同态的乘子代数）通过全叉积函子等价于G在余乘（C*（G），delta_G）下的极大余作用的逗号范畴;并且A（G）通过一个约化交叉积函子等价于一个正规余作用的逗号范畴.这将经典的Landstad对偶扩展到范畴等价，并使我们能够确定那些同构于G的交叉积的C* 代数恰好是那些在适当的逗号范畴中形成对象的一部分的C* 代数。
英文摘要：
We show that the category A(G) of actions of a locally compact group G on C*-algebras (with equivariant nondegenerate *-homomorphisms into multiplier algebras) is equivalent, via a full-crossed-product functor, to a comma category of maximal coactions of G under the comultiplication (C*(G),delta_G); and also that A(G) is equivalent, via a reduced-crossed-product functor, to a comma category of normal coactions under the comultiplication. This extends classical Landstad duality to a category equivalence, and allows us to identify those C*-algebras which are isomorphic to crossed products by G as precisely those which form part of an object in the appropriate comma category.
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