English

On the $K$-theory in splitexact algebraic $KK$-theory

K-Theory and Homology 2024-10-08 v1

Abstract

It is proven that in the universal splitexact equivariant algebraic KKKK-theory for algebras, the KK-theory groups coincide with classical KK-theory in the sense of Phillips. This partially answers a question raised by Kasparov.

Keywords

Cite

@article{arxiv.2410.04150,
  title  = {On the $K$-theory in splitexact algebraic $KK$-theory},
  author = {Bernhard Burgstaller},
  journal= {arXiv preprint arXiv:2410.04150},
  year   = {2024}
}