Projectional Skeletons of Fourier Algebras
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911642637303808 |
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| author | Oktay, Onur |
| author_facet | Oktay, Onur |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23484 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Projectional Skeletons of Fourier Algebras Oktay, Onur Operator Algebras Functional Analysis 22D25, 43A30, 46B26, 46L10 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. |
| title | Projectional Skeletons of Fourier Algebras |
| topic | Operator Algebras Functional Analysis 22D25, 43A30, 46B26, 46L10 |
| url | https://arxiv.org/abs/2604.23484 |