The C0(X)-algebra of a net and index theory

@article{Ruzzi2014TheCO,
  title={The C0(X)-algebra of a net and index theory},
  author={Giuseppe Ruzzi and Ezio Vasselli},
  journal={Journal of Functional Analysis},
  year={2014},
  volume={267},
  pages={112-143}
}
  • Giuseppe Ruzzi, Ezio Vasselli
  • Published 2014
  • Mathematics, Physics
  • Journal of Functional Analysis
  • Abstract Given a connected and locally compact Hausdorff space X with a good base K we assign, in a functorial way, a C 0 ( X ) -algebra to any precosheaf of C ⁎ -algebras A defined over K. Afterwards we consider the representation theory and the Kasparov K-homology of A , and interpret them in terms, respectively, of the representation theory and the K-homology of the associated C 0 ( X ) -algebra. When A is an observable net over the spacetime X in the sense of algebraic quantum field theory… CONTINUE READING