1. Introduction 2. The modulus of uniform integrability and weak compactness in $L̂1(\mathcal {N})$ 3. Improvements to the main theorem 4. Complements on the Banach/operator space structure of $L̂p(\mathcal {N})$-spaces 5. The Banach isomorphic classification of the spaces $L̂p(\mathcal {N})$ for $\mathcal {N}$ hyperfinite semi-finite 6. $L̂p(\mathcal {N})$-isomorphism results for $\mathcal {N}$ a type III hyperfinite or a free group von Neumann algebra
Summary
Introduction The modulus of uniform integrability and weak compactness in $L̂1(\mathcal N)$ Improvements to the main theorem Complements on the Banach/operator space structure of $L̂p(\mathcal N)$-spaces The Banach isomorphic classification of the spaces $L̂p(\mathcal N)$ for $\mathcal N$ hyperfinite semi-finite $L̂p(\mathcal N)$-isomorphism results for $\mathcal N$ a type III hyperfinite or a free group von Neumann algebra Bibliography