On C*-algebras related to constrained representations of a free group

Details On C*-algebras related to constrained representations of a free group On C*-algebras related to constrained representations of a free group

2010-05-14

arxiv.org/abs/1005.2608v1

Mathematics

Operator Algebras

9 pages

Scientific paper

We consider representations of the free group $F_2$ on two generators such
that the norm of the sum of the generators and their inverses is bounded by
$\mu\in[0,4]$. These $\mu$-constrained representations determine a C*-algebra
$A_{\mu}$ for each $\mu\in[0,4]$. We prove that these C*-algebras form a
continuous bundle of C*-algebras over $[0,4]$ and calculate their K-groups.

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