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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 -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 -space (). For a proper metric space with bounded geometry, we introduce a version of -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…