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- Title
Function algebras on the n-dimensional quantum complex space.
- Authors
Cohen, Ismael; Wagner, Elmar
- Abstract
This 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 L 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 n -dimensional complex space and by taking the operator norm closure of a universal representation of this algebra.
- Subjects
FUNCTION algebras; UNIVERSAL algebra; REPRESENTATIONS of algebras; CONTINUOUS functions; HILBERT space; C*-algebras
- Publication
International Journal of Geometric Methods in Modern Physics, 2023, Vol 20, Issue 7, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887823501165