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

Mathematics – Operator Algebras

Scientific paper

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13 Pages

Scientific paper

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.

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