Noncommutative coordinate algebras

Details Noncommutative coordinate algebras Noncommutative coordinate algebras

2008-10-07

arxiv.org/abs/0810.1114v2

Mathematics

Quantum Algebra

28 pages, dedicated to Alain Connes

Scientific paper

We discuss the noncommutative generalizations of polynomial algebras which
after appropriate completions can be used as coordinate algebras in various
noncommutative settings, (noncommutative differential geometry, noncommutative
algebraic geometry, etc.). These algebras have finite presentations and are
completely characterized and classified by their (noncommutative) volume forms.

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