Equivariant Index Theorem on ${\mathbb{R}}^n$ in the Context of Continuous Fields of $C^{\ast }$-algebras

Baiying Ren, Hang Wang, Zijing Wang

We prove an equivariant index theorem on the Euclidean space using a continuous field of $C^{\ast }$-algebras. This generalizes the work of Elliott, Natsume and Nest, which is a special…