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$ K$-groups of solenoidal algebras. I

Author: Berndt Brenken
Journal: Proc. Amer. Math. Soc. 123 (1995), 1457-1464
MSC: Primary 46L55; Secondary 19K14, 28D05, 46L05, 46L80
MathSciNet review: 1231292
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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.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1995 American Mathematical Society

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