English

Unbounded Derivations in Algebras Associated with Monothetic Groups

Operator Algebras 2023-06-22 v1

Abstract

Given an infinite, compact, monothetic group GG we study decompositions and structure of unbounded derivations in a crossed product C^*-algebra C(G)ZC(G)\rtimes\Z obtained from a translation on GG by a generator of a dense cyclic subgroup. We also study derivations in a Toeplitz extension of the crossed product and the question whether unbounded derivations can be lifted from one algebra to the other.

Keywords

Cite

@article{arxiv.1905.07306,
  title  = {Unbounded Derivations in Algebras Associated with Monothetic Groups},
  author = {Slawomir Klimek and Matt McBride},
  journal= {arXiv preprint arXiv:1905.07306},
  year   = {2023}
}