The Lattice of C*-covers of an operator algebra
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916566382149632 |
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| author | Humeniuk, Adam Ramsey, Christopher |
| author_facet | Humeniuk, Adam Ramsey, Christopher |
| contents | In this paper it is shown that the lattice of C*-covers of an operator algebra does not contain enough information to distinguish operator algebras up to completely isometric isomorphism. In addition, four natural equivalences of the lattice of C*-covers are developed and proven to be distinct. The lattice of C*-covers of direct sums and tensor products are studied. Along the way key examples are found of an operator algebra that generates exactly n C*-algebras up to *-isomorphism and a simple operator algebra that is not similar to a C*-algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02783 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Lattice of C*-covers of an operator algebra Humeniuk, Adam Ramsey, Christopher Operator Algebras 47L55, 46L05, 46L06 In this paper it is shown that the lattice of C*-covers of an operator algebra does not contain enough information to distinguish operator algebras up to completely isometric isomorphism. In addition, four natural equivalences of the lattice of C*-covers are developed and proven to be distinct. The lattice of C*-covers of direct sums and tensor products are studied. Along the way key examples are found of an operator algebra that generates exactly n C*-algebras up to *-isomorphism and a simple operator algebra that is not similar to a C*-algebra. |
| title | The Lattice of C*-covers of an operator algebra |
| topic | Operator Algebras 47L55, 46L05, 46L06 |
| url | https://arxiv.org/abs/2304.02783 |