论文标题

固定点代数,用于弱适合的跌倒束

Fixed point algebras for weakly proper Fell bundles

论文作者

Ferraro, Damián

论文摘要

我们定义弱适当的跌落束,并为此类束构建异国情调的固定点代数。给出了此类代数的三个替代结构。在一种狂热的条件下,我们的一个结构意味着,每个异国情调的横截面c* - 弱的跌倒束的代数都与异国情调的固定点代数相等。其他构造用于表明我们对C*-Algebras的弱适当作用进行了概括的公交和Echterhoff的概括。我们还概括了束缚的事实,即在卡斯帕罗夫意义上是适当的每种c action是可以正常的。

We define weakly proper Fell bundles and construct exotic fixed point algebras for such bundles. Three alternative constructions of such algebras are given. Under a kind of freeness condition, one of our constructions implies that every exotic cross sectional C*-algebra of a weakly proper Fell bundle is Morita equivalent to an exotic fixed point algebras. The other constructions are used to show that ours generalizes that of Buss and Echterhoff on weakly proper actions on C*-algebras. We also generalize to Fell bundles the fact that every C*-action which is proper in Kasparov's sense is amenable.

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