English

The $K$-theory of the Compact Quantum Group $SU_q(2)$ for $q=-1$

Operator Algebras 2015-03-06 v7 Quantum Algebra

Abstract

We determine the KK-theory of the CC^{*}-algebra C(SU1(2))C(SU_{-1}(2)) and describe its spectrum. Moreover, we exhibit a continuous CC^{*}-bundle over [1,0)[-1,0) whose fibre at qq is isomorphic to C(SUq(2))C(SU_{q}(2)).

Keywords

Cite

@article{arxiv.1302.0305,
  title  = {The $K$-theory of the Compact Quantum Group $SU_q(2)$ for $q=-1$},
  author = {Selcuk Barlak},
  journal= {arXiv preprint arXiv:1302.0305},
  year   = {2015}
}

Comments

18 pages, numbering style changed in accordance to the final version, which will appear in Internat. J. Math