A Note on Noncommutative and False Noncommutative spaces

Abstract

We show that the algebra of functions on noncommutative space allows two different representations. One is describing the genuine noncommutative space, while another one can be rewritten in commutative form by a redefinition of generators.

3 pages, comments and refs added

References in corpus (4)

• A Short Survey of Noncommutative Geometry
• A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
• Symmetry Restoration and Tachyon Condensation in Open String Theory
• Noncommutative Tachyonic Solitons. Interaction with Gauge Field

Cited by in corpus (8)

• Magnetic fields in noncommutative quantum mechanics
• Exotic galilean symmetry and non-commutative mechanics
• The $\star$-value Equation and Wigner Distributions in Noncommutative Heisenberg algebras
• Noncommutative Field Theory from Quantum Mechanical Space-Space Noncommutativity
• Duality and Braiding in Twisted Quantum Field Theory
• Matrix Models
• Noncommutative Supersymmetry in Two Dimensions
• Duality between the coordinates and wave functions on noncommutative space