Universal cycles and homological invariants of locally convex algebras

@article{Grensing2011UniversalCA,
  title={Universal cycles and homological invariants of locally convex algebras},
  author={Martin Grensing},
  journal={arXiv: K-Theory and Homology},
  year={2011}
}
  • Martin Grensing
  • Published 2011
  • Mathematics
  • arXiv: K-Theory and Homology
  • Using an appropriate notion of locally convex Kasparov modules, we show how to induce isomorphisms under a large class of functors on the category of locally convex algebras; examples are obtained from spectral triples. Our considerations are based on the action of algebraic K-theory on these functors, and involve compatibility properties of the induction process with this action, and with Kasparov-type products. This is based on an appropriate interpretation of the Connes-Skandalis connection… CONTINUE READING
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