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Title: {kappa}-Minkowski representations on Hilbert spaces

Abstract

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.

Authors:
 [1]
  1. School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, Wales (United Kingdom)
Publication Date:
OSTI Identifier:
20929711
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 5; Other Information: DOI: 10.1063/1.2738360; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; COMMUTATION RELATIONS; FUNCTIONAL ANALYSIS; HILBERT SPACE; MATHEMATICAL OPERATORS; MINKOWSKI SPACE; QUANTUM GRAVITY; SPACE-TIME

Citation Formats

Agostini, Alessandra. {kappa}-Minkowski representations on Hilbert spaces. United States: N. p., 2007. Web. doi:10.1063/1.2738360.
Agostini, Alessandra. {kappa}-Minkowski representations on Hilbert spaces. United States. doi:10.1063/1.2738360.
Agostini, Alessandra. Tue . "{kappa}-Minkowski representations on Hilbert spaces". United States. doi:10.1063/1.2738360.
@article{osti_20929711,
title = {{kappa}-Minkowski representations on Hilbert spaces},
author = {Agostini, Alessandra},
abstractNote = {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.},
doi = {10.1063/1.2738360},
journal = {Journal of Mathematical Physics},
number = 5,
volume = 48,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}