作为环同态的粗共装配

arXiv: K-Theory and Homology Pub Date : 2014-12-04 DOI:10.4171/JNCG/240

Christopher Wulff

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引用次数: 6

摘要

粗糙空间稳定希格森日冕的K理论具有正则环结构。这个环是爱默生和迈耶的粗糙共组装图的未约简版本的域。我们证明了当给定的粗糙空间在粗糙意义上可收缩时，目标也携带一个环结构并且共装配是一个环同态。

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Coarse co-assembly as a ring homomorphism

The $K$-theory of the stable Higson corona of a coarse space carries a canonical ring structure. This ring is the domain of an unreduced version of the coarse co-assembly map of Emerson and Meyer. We show that the target also carries a ring structure and co-assembly is a ring homomorphism, provided that the given coarse space is contractible in a coarse sense.

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arXiv: K-Theory and Homology

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