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The bordism group o...
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Deeley, Robin J.University of Colorado at Boulder
(författare)
The bordism group of unbounded KK-cycles
- Artikel/kapitelEngelska2018
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LIBRIS-ID:oai:gup.ub.gu.se/260845
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https://gup.ub.gu.se/publication/260845URI
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https://doi.org/10.1142/S1793525318500012DOI
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https://research.chalmers.se/publication/254152URI
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© 2018 World Scientific Publishing Company We consider Hilsum’s notion of bordism as an equivalence relation on unbounded (Formula presented.)-cycles and study the equivalence classes. Upon fixing two (Formula presented.)-algebras, and a ∗-subalgebra dense in the first (Formula presented.)-algebra, a (Formula presented.)-graded abelian group is obtained; it maps to the Kasparov (Formula presented.)-group of the two (Formula presented.)-algebras via the bounded transform. We study properties of this map both in general and in specific examples. In particular, it is an isomorphism if the first (Formula presented.)-algebra is the complex numbers (i.e. for (Formula presented.)-theory) and is a split surjection if the first (Formula presented.)-algebra is the continuous functions on a compact manifold with boundary when one uses the Lipschitz functions as the dense ∗-subalgebra.
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Goffeng, Magnus C H T,1987Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)goffeng
(författare)
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Mesland, BramUniversiteit Leiden (UL),Leiden University (UL)
(författare)
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University of Colorado at BoulderInstitutionen för matematiska vetenskaper
(creator_code:org_t)
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Ingår i:Journal of Topology and Analysis10:21793-52531793-7167
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