具有扭对合的交叉积环及其模范畴和L-理论
On crossed product rings with twisted involutions, their module categories and L-theory
摘要：
本文研究了具有对合的可加G-范畴中系数的Farrell-Jones猜想。这是L-理论的法雷尔-琼斯猜想的一个变体，它最初处理具有标准对合的群环。我们表明，这种提法的猜想可以适用于交叉产品环R*G配备扭曲的对合，并自动意味着先验更一般的纤维版本。
英文摘要：
We study the Farrell-Jones Conjecture with coefficients in an additive G-category with involution. This is a variant of the L-theoretic Farrell-Jones Conjecture which originally deals with group rings with the standard involution. We show that this formulation of the conjecture can be applied to crossed product rings R*G equipped with twisted involutions and automatically implies the a priori more general fibered version.
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