Exactness and LLP Results via Operator System Methods
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914121878863872 |
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| author | Davidson, Kenneth R. Paulsen, Vern I. Rahaman, Mizanur |
| author_facet | Davidson, Kenneth R. Paulsen, Vern I. Rahaman, Mizanur |
| contents | In this paper, we employ operator system techniques to investigate structural properties of C*-algebras. In particular, we provide more direct proofs of results concerning exactness and the local lifting property (LLP) of group C$^*$-algebras that avoid relying on the traditional heavy machinery of C$^*$-algebra theory. Briefly, these methods allow us to deduce that any C*-algebra containing $n$ unitaries whose $\textit{ joint numerical radius}$, in the sense defined by \cite{FKP}, is strictly less than $n$, must fail certain of these properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25299 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exactness and LLP Results via Operator System Methods Davidson, Kenneth R. Paulsen, Vern I. Rahaman, Mizanur Operator Algebras Functional Analysis In this paper, we employ operator system techniques to investigate structural properties of C*-algebras. In particular, we provide more direct proofs of results concerning exactness and the local lifting property (LLP) of group C$^*$-algebras that avoid relying on the traditional heavy machinery of C$^*$-algebra theory. Briefly, these methods allow us to deduce that any C*-algebra containing $n$ unitaries whose $\textit{ joint numerical radius}$, in the sense defined by \cite{FKP}, is strictly less than $n$, must fail certain of these properties. |
| title | Exactness and LLP Results via Operator System Methods |
| topic | Operator Algebras Functional Analysis |
| url | https://arxiv.org/abs/2510.25299 |