Semi-Cosimplicial Hilbert Spaces with Isometric Coface Operators
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908919077535744 |
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| author | Evans, D. Gwion Gohm, Rolf Köstler, Claus |
| author_facet | Evans, D. Gwion Gohm, Rolf Köstler, Claus |
| contents | Semi-cosimplicial objects in the category of Hilbert spaces with isometries which are motivated by non-commutative probability theory, in particular by the distributional symmetry of spreadability, are introduced and systematically developed in various directions: partial shifts, cohomology, a related graph, decomposition into labeled subspaces, representation theory of the infinite symmetric and braid groups, extension problems and a toy version of spreadability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27373 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Semi-Cosimplicial Hilbert Spaces with Isometric Coface Operators Evans, D. Gwion Gohm, Rolf Köstler, Claus Operator Algebras K-Theory and Homology Representation Theory Semi-cosimplicial objects in the category of Hilbert spaces with isometries which are motivated by non-commutative probability theory, in particular by the distributional symmetry of spreadability, are introduced and systematically developed in various directions: partial shifts, cohomology, a related graph, decomposition into labeled subspaces, representation theory of the infinite symmetric and braid groups, extension problems and a toy version of spreadability. |
| title | Semi-Cosimplicial Hilbert Spaces with Isometric Coface Operators |
| topic | Operator Algebras K-Theory and Homology Representation Theory |
| url | https://arxiv.org/abs/2603.27373 |