Compact Lie group actions with continuous Rokhlin property

Yuki Arano; Yosuke Kubota

Compact Lie group actions with continuous Rokhlin property

Operator Algebras 2015-12-22 v1 K-Theory and Homology

Authors: Yuki Arano , Yosuke Kubota

Abstract

In this paper, we study continuous Rokhlin property of $\mathrm{C}^*$ -dynamical systems using techniques of equivariant $\mathrm{KK}$ -theory and quantum group theory. In particular, we determine the $\mathrm{KK}$ -equivalence class and give a classification of Kirchberg $G$ -algebras when the $G$ is a compact Lie group with Hodgkin condition.

Keywords

c*-algebra equivariant cohomology algebraic k-theory

Cite

@article{arxiv.1512.06333,
  title  = {Compact Lie group actions with continuous Rokhlin property},
  author = {Yuki Arano and Yosuke Kubota},
  journal= {arXiv preprint arXiv:1512.06333},
  year   = {2015}
}

Comments

18 pages. This paper is separated from Section 7 of arXiv:1508.06815

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