𝐾-groups of solenoidal algebras. I

Brenken, Berndt

doi:10.1090/S0002-9939-1995-1231292-5

$K$-groups of solenoidal algebras. I
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Proc. Amer. Math. Soc. 123 (1995), 1457-1464 Request permission

Abstract:

Multiplication by x determines an automorphism of the compact dual group of ${\Lambda _g} = \mathbb {Z}[x,{x^{ - 1}}]/(g)$ for $g \in \mathbb {Z}[x]$. We determine the K-groups of the ${C^ \ast }$-algebra associated with this dynamical system if g is irreducible and has degree one or two. Partial results are included if the degree of g is three.

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