Toeplitz matrices acting on the ℓ²-space of an imprimitivity bimodule
| Autor: | Beatriz Abadie |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Proceedings of the American Mathematical Society. 150:1269-1278 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/proc/15746 |
| Popis: | We give a definition of Toeplitz matrix acting on the ℓ 2 \ell ^2 -space of an imprimitivity bimodule X X over a C ∗ C^* -algebra A A . We characterize the set of Toeplitz matrices as the closure in a certain topology of the image of the left regular representation of the crossed product A ⋊ X A\rtimes X . |
| Databáze: | OpenAIRE |
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