English

Real structure in operator spaces, injective envelopes and $G$-spaces

Operator Algebras 2023-03-31 v1

Abstract

We present some more foundations for a theory of real structure in operator spaces and algebras, in particular concerning the real case of the theory of injectivity, and the injective, ternary, and CC^*-envelope. We consider the interaction between these topics and the complexification. We also generalize many of these results to the setting of operator spaces and systems acted upon by a group.

Keywords

Cite

@article{arxiv.2303.17054,
  title  = {Real structure in operator spaces, injective envelopes and $G$-spaces},
  author = {David P. Blecher and Arianna Cecco and Mehrdad Kalantar},
  journal= {arXiv preprint arXiv:2303.17054},
  year   = {2023}
}
R2 v1 2026-06-28T09:40:43.839Z