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

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 -algebra which has both the local lifting property (LLP) and the weak expectation property (WEP).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Holomorphic and Operator Theory · Advanced Banach Space Theory
