A note on noncommutative CW-spectra
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913989083004928 |
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| author | Blom, Thomas |
| author_facet | Blom, Thomas |
| contents | We use the machinery of arXiv:2009.07539 to give an alternative proof of one of the main results of arXiv:2101.09775. This result states that the category of noncommutative CW-spectra can be modelled as the category of spectral presheaves on a certain category M, whose objects can be thought of as "suspension spectra of matrix algebras". The advantage of our proof is that it mainly relies on well-known results on (stable) model categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_04894 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A note on noncommutative CW-spectra Blom, Thomas Algebraic Topology Operator Algebras 18N40, 46L85, 55P42 We use the machinery of arXiv:2009.07539 to give an alternative proof of one of the main results of arXiv:2101.09775. This result states that the category of noncommutative CW-spectra can be modelled as the category of spectral presheaves on a certain category M, whose objects can be thought of as "suspension spectra of matrix algebras". The advantage of our proof is that it mainly relies on well-known results on (stable) model categories. |
| title | A note on noncommutative CW-spectra |
| topic | Algebraic Topology Operator Algebras 18N40, 46L85, 55P42 |
| url | https://arxiv.org/abs/2201.04894 |