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arXiv · 2604.23484

Projectional Skeletons of Fourier Algebras

Onur Oktay
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Abstract

The preduals of $W^*$-algebras are 1-Plichko spaces. A natural question arises: does every predual possess a projectional skeleton (PS) $\{P_s:s\in J\}$ such that each $P_s^*$ is a conditional expectation? In this note, we answer this question affirmatively for the preduals of the group von Neumann algebras of locally compact groups.

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Onur Oktay. 2026-04-26. Projectional Skeletons of Fourier Algebras. https://arxiv.org/abs/2604.23484

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