English

Adams operations on twisted $K$-theory of compact Lie groups

Algebraic Topology 2024-03-26 v3 K-Theory and Homology

Abstract

In this paper, extending the results in \cite{F}, we compute Adams operations on twisted KK-theory of connected, simply-connected and simple compact Lie groups GG, in both equivariant and nonequivariant settings.

Keywords

Cite

@article{arxiv.2110.09644,
  title  = {Adams operations on twisted $K$-theory of compact Lie groups},
  author = {Chi-Kwong Fok},
  journal= {arXiv preprint arXiv:2110.09644},
  year   = {2024}
}

Comments

21 pages. More detailed reviews of equivariant twisted K-theory and Adams operations on it are added at the suggestions of an anonymous referee. Accepted by Journal of Homotopy and Related Structures