On $C^*$-algebras with Local Lifting Property and Weak Expectation Property

TL;DR

This paper presents a simplified construction of a non-nuclear $C^*$-algebra that possesses both the local lifting property and the weak expectation property, advancing understanding of these properties in operator algebras.

Contribution

The paper introduces a more straightforward presentation of a non-nuclear $C^*$-algebra with LLP and WEP, clarifying their coexistence.

Findings

Constructs a non-nuclear $C^*$-algebra with LLP and WEP

Provides a simpler approach to existing constructions

Enhances understanding of properties in operator algebras

Abstract

We give a new, somewhat simpler, presentation of the author's recent construction of a non-nuclear $C^*$-algebra which has both the local lifting property (LLP) and the weak expectation property (WEP).