Operator algebras and C*-correspondences: A survey

TL;DR

This survey reviews recent developments in the theory of C*-correspondences and their operator algebras, focusing on topics like adding tails, the Shift Equivalence Problem, and Hilbert bimodules.

Contribution

It consolidates recent research on C*-correspondences, providing insights into operator algebra constructions and open problems in the field.

Findings

Analysis of adding tails in C*-correspondences

Progress on the Shift Equivalence Problem

Development of Hilbert bimodule theory

Abstract

In this paper we survey our recent work on C*-correspondences and their associated operator algebras; in particular, on adding tails, the Shift Equivalence Problem and Hilbert bimodules.