2000arXiv (Cornell University)Open access

A Note on Noncommutative and False Noncommutative spaces

Corneliu Sochichiu

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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.

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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.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Noncommutative geometry, Noncommutative algebraic geometry, Commutative property, Noncommutative quantum field theory, Mathematics, Pure mathematics, Space (punctuation), Algebra over a field

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