English

Rapid Decay Subalgebras of C$^*$-Algebras

Operator Algebras 2026-05-12 v1

Abstract

We introduce a general scheme of constructing smooth subalgebras of C^*-algebras that are closed under the smooth calculus of self-adjoint elements. We illustrate the scheme with a number of examples.

Keywords

Cite

@article{arxiv.2605.08977,
  title  = {Rapid Decay Subalgebras of C$^*$-Algebras},
  author = {Shelley Hebert and Slawomir Klimek and Matt McBride},
  journal= {arXiv preprint arXiv:2605.08977},
  year   = {2026}
}