Yazhou Zhang

collaborators

4 papers

math.KT2022

A Bott periodicity theorem for $ℓ^{p}$ -spaces and the coarse Novikov conjecture at infinity

Liang Guo, Zheng Luo, Qin Wang +1

We formulate and prove a Bott periodicity theorem for an $ℓ^{p}$ -space ( $1 \leq p < \infty$ ). For a proper metric space $X$ with bounded geometry, we introduce a version of $K$ -homol…

math.OA2022

Coarse embeddings at infinity and generalized expanders at infinity

Jintao Deng, Liang Guo, Qin Wang +1

We introduce a notion of coarse embedding at infinity into Hilbert space for metric spaces, which is a weakening of the notion of fibred coarse embedding and a far generalization o…

math.OA2021

K-theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations

Liang Guo, Zheng Luo, Qin Wang +1

Let $X$ be a discrete metric space with bounded geometry. We show that if $X$ admits an "A-by-CE coarse fibration", then the canonical quotient map $λ : C_{m a x}^{*} (X) \to C^{*} (X)$ fro…

math.KT2021

The coarse Novikov conjecture for extensions of coarsely embeddable groups

Qin Wang, Yazhou Zhang

Let $(1 \to N_{n} \to G_{n} \to Q_{n} \to 1)_{n \in N}$ be a sequence of extensions of countable discrete groups. Endow $(G_{n})_{n \in N}$ with metrics associated to proper l…

A Bott periodicity theorem for ℓp-spaces and the coarse Novikov conjecture at infinity

Coarse embeddings at infinity and generalized expanders at infinity

K-theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations

The coarse Novikov conjecture for extensions of coarsely embeddable groups

A Bott periodicity theorem for $ℓ^{p}$ -spaces and the coarse Novikov conjecture at infinity