English

The C*-algebra of symmetric words in two universal unitaries

Operator Algebras 2011-10-10 v1

Abstract

We compute the K-theory of the C*-algebra of symmetric words in two universal unitaries. This algebra is the fixed point C*-algebra for the order-two automorphism of the full C*-algebra of the free group on two generators which switches the generators. Our calculations relate the K -theory of this C*-algebra to the K-theory of the associated C*-crossed-product by Z_2.

Keywords

Cite

@article{arxiv.math/0610467,
  title  = {The C*-algebra of symmetric words in two universal unitaries},
  author = {Man-Duen Choi and Frederic Latremoliere},
  journal= {arXiv preprint arXiv:math/0610467},
  year   = {2011}
}

Comments

13 Pages