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arXiv · 2312.09381

Crossed Product C$^*$-algebras Associated With $p$-adic Multiplication

Shelley Hebert·Slawomir Klimek·Matt McBride·J. Wilson Peoples
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Abstract

We introduce and investigate some examples of C$^*$-algebras which are related to multiplication maps in the ring of $p$-adic integers. We find ideals within these algebras and use the corresponding short exact sequences to compute the $K$-Theory.

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Shelley Hebert, Slawomir Klimek, Matt McBride, J. Wilson Peoples. 2023-12-14. Crossed Product C$^*$-algebras Associated With $p$-adic Multiplication. https://arxiv.org/abs/2312.09381

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