Nuclear dimension and Z-stability
Simple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra $\mathcal{Z}$ tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case.
| Main Authors: | , , |
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| Format: | Journal article |
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Springer Verlag
2015
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| _version_ | 1797094182967312384 |
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| author | Sato, Y White, S Winter, W |
| author_facet | Sato, Y White, S Winter, W |
| author_sort | Sato, Y |
| collection | OXFORD |
| description | Simple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra $\mathcal{Z}$ tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case. |
| first_indexed | 2024-03-07T04:10:31Z |
| format | Journal article |
| id | oxford-uuid:c7ad14c9-4cfb-4a00-8403-7683b3bd8807 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:10:31Z |
| publishDate | 2015 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:c7ad14c9-4cfb-4a00-8403-7683b3bd88072022-03-27T06:46:45ZNuclear dimension and Z-stabilityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c7ad14c9-4cfb-4a00-8403-7683b3bd8807Symplectic Elements at OxfordSpringer Verlag2015Sato, YWhite, SWinter, WSimple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra $\mathcal{Z}$ tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case. |
| spellingShingle | Sato, Y White, S Winter, W Nuclear dimension and Z-stability |
| title | Nuclear dimension and Z-stability |
| title_full | Nuclear dimension and Z-stability |
| title_fullStr | Nuclear dimension and Z-stability |
| title_full_unstemmed | Nuclear dimension and Z-stability |
| title_short | Nuclear dimension and Z-stability |
| title_sort | nuclear dimension and z stability |
| work_keys_str_mv | AT satoy nucleardimensionandzstability AT whites nucleardimensionandzstability AT winterw nucleardimensionandzstability |