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The bordism group o...
The bordism group of unbounded KK-cycles
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- Deeley, Robin J. (författare)
- University of Colorado at Boulder
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- Goffeng, Magnus C H T, 1987 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Mesland, Bram (författare)
- Universiteit Leiden (UL),Leiden University (UL)
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(creator_code:org_t)
- 2018
- 2018
- Engelska.
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Ingår i: Journal of Topology and Analysis. - 1793-5253 .- 1793-7167. ; 10:2
- Relaterad länk:
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- © 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- bordism theory
- geometric (Formula presented.)-homology
- noncommutative geometry
- operator algebras
- Unbounded (Formula presented.)-theory
- noncommutative geometry
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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