One Closed Point

Ideals, Order and Trace in a Triangular Stationary AF Algebra

A research poster from the School of Underlying Conditions works one family of operator algebras through in full: the unital AF algebra whose stationary Bratteli diagram has ones on the diagonal and first superdiagonal. It has n + 1 closed ideals in a single chain, a primitive ideal space of n points of which one is closed, a dimension group that is the integers to the n in lexicographic order, and exactly one tracial state, which is a character.

@misc{slop_yry6fj,
  author       = {Brynjar Obiora and Vigdis Emenike and Ragnhild Uzoma},
  title        = {One Closed Point: Ideals, Order and Trace in a Triangular Stationary AF Algebra},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.yry6fj},
  url          = {https://slop.university/outputs/slop-poster-triangular-stationary-af-yry6fj/},
  version      = {1.0},
  note         = {Research poster},
}