English

A remark about a theorem of Skandalis

Operator Algebras 2018-02-28 v1 K-Theory and Homology

Abstract

Georges Skandalis exhibited in his work on KK-nuclearity the first class of CC^*-algebras AA for which the canonical map K(AmaxA)K(AminA)K_*(A\otimes_{max}A)\to K_*(A\otimes_{min}A) is not an isomorphism. We show that it is the injectivity that fails (even rationally) in his examples.

Keywords

Cite

@article{arxiv.1802.09908,
  title  = {A remark about a theorem of Skandalis},
  author = {Michael Puschnigg},
  journal= {arXiv preprint arXiv:1802.09908},
  year   = {2018}
}