Rieffel广义不动点代数对真作用的泛函性
Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions
摘要：
我们考虑两类C* 代数;在第一类中，同构是普通同构，在第二类中，同构是Morita等价。我们展示了这两个类别，以及基于它们的动力系统类别，如何突然出现在各种C*-代数的上下文中。我们表明，Rieffel的建设一个不动点代数适当的行动可以成为函子定义在这些类别，他的森田等价，然后给出了一个自然的同构这些函子和交叉产品函子。这些结果对交叉积的非交换对偶有有趣的应用。
英文摘要：
We consider two categories of C*-algebras; in the first, the isomorphisms are ordinary isomorphisms, and in the second, the isomorphisms are Morita equivalences. We show how these two categories, and categories of dynamical systems based on them, crop up in a variety of C*-algebraic contexts. We show that Rieffel's construction of a fixed-point algebra for a proper action can be made into functors defined on these categories, and that his Morita equivalence then gives a natural isomorphism between these functors and crossed-product functors. These results have interesting applications to non-abelian duality for crossed products.
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