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TOPOLOGICAL K-THEORY OF THE GROUP C*-ALGEBRA OF A SEMI-DIRECT PRODUCT ℤⁿ ⋊ ℤ/m FOR A FREE CONJUGATION ACTION

MARTIN LANGER

Rheinische Wilhelms-Universität Bonn, Mathematisches Institut, Endenicher Allee 60, 53115 Bonn, Germany

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and

WOLFGANG LÜCK

Rheinische Wilhelms-Universität Bonn, Mathematisches Institut, Endenicher Allee 60, 53115 Bonn, Germany

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https://doi.org/10.1142/S1793525312500082Cited by:6 (Source: Crossref)

Abstract

We compute the topological K-theory of the group C*-algebra for a group extension 1 → ℤⁿ → Γ → ℤ/m → 1 provided that the conjugation action of ℤ/m on ℤⁿ is free outside the origin.

Keywords:

AMSC: 19L47, 46L80

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