English

Topological and frame properties of certain pathological $C^*$-algebras

Operator Algebras 2022-06-22 v1 Functional Analysis

Abstract

We introduce a classification of locally compact Hausdorff topological spaces with respect to the behavior of σ\sigma-compact subsets, and relying on this classification we study properties of corresponding CC^*-algebras in terms of frame theory and the theory of A\mathcal A-compact operators in Hilbert CC^*-modules, some pathological examples are constructed.

Keywords

Cite

@article{arxiv.2203.14729,
  title  = {Topological and frame properties of certain pathological $C^*$-algebras},
  author = {Denis Fufaev},
  journal= {arXiv preprint arXiv:2203.14729},
  year   = {2022}
}