Coarse co-assembly as a ring homomorphism

2014/12/04 by Wulff, Christopher · 1 citation
#19K35 #46L80 #FOS: Mathematics #K-Theory and Homology (math.KT) #Metric Geometry (math.MG) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1412.1691

Abstract

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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