English

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

Operator Algebras 2023-12-18 v1

Abstract

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

Keywords

Cite

@article{arxiv.2312.09381,
  title  = {Crossed Product C$^*$-algebras Associated With $p$-adic Multiplication},
  author = {Shelley Hebert and Slawomir Klimek and Matt McBride and J. Wilson Peoples},
  journal= {arXiv preprint arXiv:2312.09381},
  year   = {2023}
}