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.

中文翻译：

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关于里程表乘积C *代数的K理论的注记

我们对里程表的标准乘积的自相似k-图C *-代数的K-理论进行猜想。我们将C *-代数\ {{\ mathcal {Q}} _ S \}推广到\ {{\ mathbb {N}} ^ \ times \ setminus \ {1 \} \）的任何子集，然后将其实现为里程表的标准产品的自相似k图C *代数。