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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.19296 |
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| _version_ | 1866913673229893632 |
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| author | Cohen, Ismael Wagner, Elmar |
| author_facet | Cohen, Ismael Wagner, Elmar |
| contents | The paper introduces a (universal) C*-algebra of continuous functions vanishing at infinity on the n-dimensional quantum complex space. To this end, the well-behaved Hilbert space representations of the defining relations are classified. Then these representations are realized by multiplication operators on an L2-space. The C*-algebra of continuous functions vanishing at infinity is defined by considering a *-algebra such that its classical counterpart separates the points of the n-dimensional complex space and by taking the operator norm closure of a universal representation of this algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19296 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Function algebras on the n-dimensional quantum complex space Cohen, Ismael Wagner, Elmar Operator Algebras Quantum Algebra Primary: 46L65, Secondary: 58B32 The paper introduces a (universal) C*-algebra of continuous functions vanishing at infinity on the n-dimensional quantum complex space. To this end, the well-behaved Hilbert space representations of the defining relations are classified. Then these representations are realized by multiplication operators on an L2-space. The C*-algebra of continuous functions vanishing at infinity is defined by considering a *-algebra such that its classical counterpart separates the points of the n-dimensional complex space and by taking the operator norm closure of a universal representation of this algebra. |
| title | Function algebras on the n-dimensional quantum complex space |
| topic | Operator Algebras Quantum Algebra Primary: 46L65, Secondary: 58B32 |
| url | https://arxiv.org/abs/2501.19296 |