Remarks On the K-theory of C*-Algebras of Products of Odometers

Abstract

We pose a conjecture on the K-theory of the self-similar $k$-graph C*-algebra of a standard product of odometers. We generalize the C*-algebra ${\mathcal{Q}}_S$ to any subset of ${\mathbb{N}}^{\times }\setminus \{1\}$ and then realize it as the self-similar $k$-graph C*-algebra of a standard product of odometers.

References in corpus (3)

• On the spectral sequence associated with the Baum-Connes Conjecture for ${\mathbb{Z}}^n$
• The ideal structures of self-similar $k$-graph C*-algebras
• Homotopy of product systems and K-theory of Cuntz-Nica-Pimsner algebras