Crossed products and C*-covers of semi-Dirichlet operator algebras

Autor: Humeniuk, Adam, Katsoulis, Elias G., Ramsey, Christopher
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we show that the semi-Dirichlet C*-covers of a semi-Dirichlet operator algebra form a complete lattice, establishing that there is a maximal semi-Dirichlet C*-cover. Given an operator algebra dynamical system we prove a dilation theory that shows that the full crossed product is isomorphic to the relative full crossed product with respect to this maximal semi-Dirichlet cover. In this way, we can show that every semi-Dirichlet dynamical system has a semi-Dirichlet full crossed product.
Databáze: arXiv