English

Graded algebras and subproduct systems: dimension two

Rings and Algebras 2009-05-28 v1

Abstract

Objects dual to graded algebras are subproduct systems of linear spaces, a purely algebraic counterpart of a notion introduced recently in the context of noncommutative dynamics (Shalit and Solel, Bhat and Mukherjee). A complete classification of these objects in the lowest nontrivial dimension is given in this work, triggered by a question of Bhat.

Keywords

Cite

@article{arxiv.0905.4418,
  title  = {Graded algebras and subproduct systems: dimension two},
  author = {Boris Tsirelson},
  journal= {arXiv preprint arXiv:0905.4418},
  year   = {2009}
}

Comments

21 pages

R2 v1 2026-06-21T13:06:37.541Z