Abelian von Neumann algebras, measure algebras and L^\infty-spaces

Abstract

We give a fresh account of the astonishing interplay between abelian von Neumann algebras, L^\infty-spaces and measure algebras, including an exposition of Maharam's theorem from the von Neumann algebra perspective.

60 pages (61 in published version). This is the final version, a 4-5 page longer revision of the original submission, e.g. an application was added at the end of Section 6 concerning the uniqueness of Haar measure

References in corpus (1)

• Gelfand-type duality for commutative von Neumann algebras

Cited by in corpus (2)

• Banach algebras associated to twisted étale groupoids: inverse semigroup disintegration and representations on $L^p$-spaces
• Groups without unitary representations, submeasures, and the escape property