论文标题
$ \ varrho $ - 莱曼叶捆绑包的内饰Kasparov产品
Interior Kasparov product for $\varrho$-classes on Riemannian foliated bundles
论文作者
论文摘要
Let $ι\colon \mathcal{F}_0\to\mathcal{F}_1 $ be a suitably oriented inclusion of foliations over a manifold $M$, then we extend the construction of the lower shriek maps given by Hilsum and Skandalis to adiabatic deformation groupoid C*-algebras: we construct an asymptotic morphism $（i_ {ad}^{[0,1）}）_！\ in E_n \ left（c^*（g_ {ad}^{[0,1）}），c^*（h_ {ad}^{[0,1）} $ \ Mathcal {f} _0 $和$ \ Mathcal {f} _1 $。此外，我们证明了与Riemannian Foliated Bundles相关的叶子$ \ varrho $ classes的内部Kasparov产品公式。
Let $ι\colon \mathcal{F}_0\to\mathcal{F}_1 $ be a suitably oriented inclusion of foliations over a manifold $M$, then we extend the construction of the lower shriek maps given by Hilsum and Skandalis to adiabatic deformation groupoid C*-algebras: we construct an asymptotic morphism $(ι_{ad}^{[0,1)})_!\in E_n\left(C^*(G_{ad}^{[0,1)}), C^*(H_{ad}^{[0,1)})\right)$, where $G$ and $H$ are the monodromy groupoids associated with $\mathcal{F}_0$ and $\mathcal{F}_1$ respectively. Furthermore, we prove an interior Kasparov product formula for foliated $\varrho$-classes associated with longitudinal metrics of positive scalar curvature in the case of Riemannian foliated bundles.
