{kappa}-Minkowski representations on Hilbert spaces

Journal Article · Tue May 15 00:00:00 EDT 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2738360· OSTI ID:20929711

Agostini, Alessandra ^[1]

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1. School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, Wales (United Kingdom)

The algebra of functions on {kappa}-Minkowski noncommutative space-time is studied as algebra of operators on Hilbert spaces. The representations of this algebra are constructed and classified. This new approach leads to a natural construction of integration in {kappa}-Minkowski space-time in terms of the usual trace of operators.

• OSTI ID: 20929711
• Journal Information: Journal of Mathematical Physics, Vol. 48, Issue 5; Other Information: DOI: 10.1063/1.2738360; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COMMUTATION RELATIONS
FUNCTIONAL ANALYSIS
HILBERT SPACE
MATHEMATICAL OPERATORS
MINKOWSKI SPACE
QUANTUM GRAVITY
SPACE-TIME