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.
Author: | Christopher Wulff |
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URN: | urn:nbn:de:bvb:384-opus4-29152 |
Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/2915 |
Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2014-10) |
Type: | Preprint |
Language: | English |
Publishing Institution: | Universität Augsburg |
Release Date: | 2014/12/08 |
Tag: | coarse geometry; co-assembly; ring structures |
GND-Keyword: | Algebraische Topologie; Ringstruktur; K-Theorie |
Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Licence (German): | Deutsches Urheberrecht |