Baiying Ren

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math.OA2025

Euler characteristics, higher Kazhdan projections and delocalised $ℓ^{2}$ -Betti numbers

Sanaz Pooya, Baiying Ren, Hang Wang

For non-amenable finitely generated virtually free groups, we show that the combinatorial Euler characteristic introduced by Emerson and Meyer is the preimage of the K-theory class…

math.OA2025

Higher Kazhdan projections and delocalized $ℓ^{2}$ -Betti numbers for an amalgamated product group

Baiying Ren

We establish explicit expressions for the $K$ -theory classes of higher Kazhdan projections for amalgamated product groups $Z_{m} *_{Z_{d}} Z_{n}$ . Our approach f…

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…

Euler characteristics, higher Kazhdan projections and delocalised ℓ2-Betti numbers

Higher Kazhdan projections and delocalized ℓ2-Betti numbers for an amalgamated product group

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

Euler characteristics, higher Kazhdan projections and delocalised $ℓ^{2}$ -Betti numbers

Higher Kazhdan projections and delocalized $ℓ^{2}$ -Betti numbers for an amalgamated product group

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