Liang Guo

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20212026

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math.KT2022

A coarse geometric approach to the generalised Green-Julg Theorem

Liang Guo, Qin Wang

In this note, we provide a proof of the generalised Green-Julg theorem by using the language of twisted localization algebras introduced by G. Yu. This proof is for those who have…

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…

A coarse geometric approach to the generalised Green-Julg Theorem

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

Coarse embeddings at infinity and generalized expanders at infinity

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