English

Self-similar states and projections in noncommutative metric spaces

Operator Algebras 2023-04-27 v1 Functional Analysis

Abstract

We present a generalisation of the theory of iterated function systems and associated fractals to the setting of noncommutative geometry. Along the way, we discuss some ideas surrounding locally compact noncommutative metric spaces.

Keywords

Cite

@article{arxiv.2304.13340,
  title  = {Self-similar states and projections in noncommutative metric spaces},
  author = {Sean Harris},
  journal= {arXiv preprint arXiv:2304.13340},
  year   = {2023}
}