English

Algebraic quantum kk-theory

K-Theory and Homology 2019-04-19 v2

Abstract

Let G\mathcal{G} be an algebraic quantum group. We introduce an equivariant algebraic kkkk-theory for G\mathcal{G}-module algebras. We study an adjointness theorem related with smash product and trivial action. We also discuss a duality property.

Keywords

Cite

@article{arxiv.1408.1639,
  title  = {Algebraic quantum kk-theory},
  author = {Eugenia Ellis},
  journal= {arXiv preprint arXiv:1408.1639},
  year   = {2019}
}

Comments

In this version we define a kk-theory for algebraic quantum groups, not only in the compact case as in the previous version. 21 pages

R2 v1 2026-06-22T05:22:37.867Z