English

Operator Categories I. T*-categories

Operator Algebras 2023-05-24 v2

Abstract

T*-categories are introduced as a ternary generalization of C*-categories. Their linking C*-categories are constructed and the Gelfand-Naimark representation theorems of Zettl for C*-ternary rings and for W*-ternary rings, are generalized to T*-categories. Biduals of C*-categories and of T*-categories are considered.

Keywords

Cite

@article{arxiv.2010.14593,
  title  = {Operator Categories I. T*-categories},
  author = {Robert Pluta and Bernard Russo},
  journal= {arXiv preprint arXiv:2010.14593},
  year   = {2023}
}

Comments

The published version changed the title to "Ternary Operator Categories". The content was not changed. The present version constitutes a corrigendum to a portion of the published version

R2 v1 2026-06-23T19:41:58.058Z