The K-homology of 2-dimensional Crystallographic Groups

Published 24 Dec 2021 in math.KT | (2112.12995v2)

Abstract: In this paper we compute the topological K-homology of 2-dimensional crystal groups. Our method focuses on the fixed point of group action and simplifies the calculation of the K-homology of universal space. The result also verifies the Baum-Connes Conjecture of 2-dimensional crystal groups.

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