Hang Wang

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20232025

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math.OA2025

Equivariant Localization of $K$ -homological Euler Class for almost connected Lie Groups

Hongzhi Liu, Hang Wang, Zijing Wang +1

Using the Witten deformation and localization algebra techniques, we compute the $G$ -equivariant $K$ -homology class of the de Rham operator on a proper cocompact $G$ -spin manifold,…

math.OA2024

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

Baiying Ren, Hang Wang, Zijing Wang

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

Equivariant Localization of K-homological Euler Class for almost connected Lie Groups

Equivariant Index Theorem on Rn in the Context of Continuous Fields of C∗-algebras

Equivariant Localization of $K$ -homological Euler Class for almost connected Lie Groups

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