论文标题
（CO）自由有理eprovariant光谱中的组变化的代数模型
Algebraic models of change of groups functors in (co)free rational equivariant spectra
论文作者
论文摘要
自由和无与伦比的白象光谱是重要类的高度光谱，代表了自由eprovariant空间上的均值同胞学理论。 Greenlees-Shipley和Pol以及作者为Rational（CO）自由eprovariant Spectra提供了代数模型。在本文中，我们通过证明（CO）自由有理理性的谱光谱之间的感应限制 - 诱导诱导诱导的质量函数来扩展此框架，这与代数模型之间的quillen函数相对应，而在连接的紧凑型谎言组的情况下。这是使用有关Quillen等价质量函子的对应关系的新抽象技术来实现的，我们期望在其他应用中使用。
Free and cofree equivariant spectra are important classes of equivariant spectra which represent equivariant cohomology theories on free equivariant spaces. Greenlees-Shipley and Pol and the author have given an algebraic model for rational (co)free equivariant spectra. In this paper, we extend this framework by proving that the Quillen functors of induction-restriction-coinduction between categories of (co)free rational equivariant spectra correspond to Quillen functors between the algebraic models in the case of connected compact Lie groups. This is achieved using new abstract techniques regarding correspondences of Quillen functors along Quillen equivalences, which we expect to be of use in other applications.
