The -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.
Cite this article
Christopher Wulff, Coarse co-assembly as a ring homomorphism. J. Noncommut. Geom. 10 (2016), no. 2, pp. 471–514DOI 10.4171/JNCG/240