# {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:

- 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}

}

DOI: 10.1063/1.2738360

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