Corpus ID: 119167348

The Thom isomorphism in bivariant K-theory

@article{Grensing2011TheTI,
  title={The Thom isomorphism in bivariant K-theory},
  author={Martin Grensing},
  journal={arXiv: K-Theory and Homology},
  year={2011}
}
  • Martin Grensing
  • Published 2011
  • Mathematics, Physics
  • arXiv: K-Theory and Homology
  • We give a simple proof of the smooth Thom isomorphism for complex bundles for the bivariant K-theories on locally convex algebras considered by Cuntz. We also prove the Thom isomorphism in Kasparov's KK-theory in a form stated without proof in the conspectus. Along the way, we prove Bott periodicity directly on R^n, using for the Kasparov product the operator that also appears in recent work of Wulkenhaar on non-compact spectral triples with finite volume, and which may be seen as a… CONTINUE READING
    Universal cycles and homological invariants of locally convex algebras
    10
    Noncommutative stable homotopy theory

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