Function algebras on the n -dimensional quantum complex space
This paper introduces a (universal) C*-algebra of continuous functions vanishing at infinity on the -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 oper...
- Autores:
-
Cohen, Ismael
Wagner, Elmar
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2023
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/14077
- Acceso en línea:
- https://hdl.handle.net/11323/14077
https://repositorio.cuc.edu.co/
- Palabra clave:
- C-algebra generated by unbounded elements
n -dimensional quantum complex space
q -normal operators
- Rights
- closedAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
| Summary: | This paper introduces a (universal) C*-algebra of continuous functions vanishing at infinity on the -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 2-space. The C*-algebra of continuous functions vanishing at infinity is defined by considering an *-algebra such that its classical counterpart separates the points of the -dimensional complex space and by taking the operator norm closure of a universal representation of this algebra. |
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