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

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.

13 Pages

Cited by in corpus (4)

• Symmetry in the Cuntz Algebra on two generators
• Irreducible Representations of C*-crossed products by Finite Groups
• Local Deformation of Matrix Words
• C*-crossed-products by an order-two automorphism