English

A note on the K\"unneth theorem for nonnuclear C*-algebras

K-Theory and Homology 2013-01-08 v2 Operator Algebras

Abstract

In this mostly expository note, we revisit the K\"unneth theorem in KK-theory of nonnuclear C*-algebras. We show that, using examples considered by Skandalis, there are algebras satisfying the K\"unneth theorem for the minimal tensor product but not for the maximal tensor product and vice versa.

Keywords

Cite

@article{arxiv.1111.7228,
  title  = {A note on the K\"unneth theorem for nonnuclear C*-algebras},
  author = {Otgonbayar Uuye},
  journal= {arXiv preprint arXiv:1111.7228},
  year   = {2013}
}

Comments

11 pages

R2 v1 2026-06-21T19:44:07.445Z