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- Noncommutative_torus abstract "In mathematics, and more specifically in the theory of C*-algebras, the noncommutative tori Aθ, also known as irrational rotation algebras for irrational values of θ, form a family of noncommutative C*-algebras which generalize the algebra of continuous functions on the 2-torus. Many topological and geometric properties of the classical 2-torus have algebraic analogues for the noncommutative tori, and as such they are fundamental examples of a noncommutative space in the sense of Alain Connes.".
- Noncommutative_torus wikiPageID "37990843".
- Noncommutative_torus wikiPageLength "4304".
- Noncommutative_torus wikiPageOutDegree "23".
- Noncommutative_torus wikiPageRevisionID "701547955".
- Noncommutative_torus wikiPageWikiLink Alain_Connes.
- Noncommutative_torus wikiPageWikiLink Bounded_operator.
- Noncommutative_torus wikiPageWikiLink C*-algebra.
- Noncommutative_torus wikiPageWikiLink Category:C*-algebras.
- Noncommutative_torus wikiPageWikiLink Category:Noncommutative_geometry.
- Noncommutative_torus wikiPageWikiLink Crossed_product.
- Noncommutative_torus wikiPageWikiLink Gelfand_representation.
- Noncommutative_torus wikiPageWikiLink Group_algebra.
- Noncommutative_torus wikiPageWikiLink Group_cohomology.
- Noncommutative_torus wikiPageWikiLink Irrational_number.
- Noncommutative_torus wikiPageWikiLink Irrational_rotation.
- Noncommutative_torus wikiPageWikiLink Linear_fractional_transformation.
- Noncommutative_torus wikiPageWikiLink Mathematics.
- Noncommutative_torus wikiPageWikiLink Morita_equivalence.
- Noncommutative_torus wikiPageWikiLink Noncommutative_geometry.
- Noncommutative_torus wikiPageWikiLink Operator_K-theory.
- Noncommutative_torus wikiPageWikiLink Square-integrable_function.
- Noncommutative_torus wikiPageWikiLink Torus.
- Noncommutative_torus wikiPageWikiLink Unit_circle.
- Noncommutative_torus wikiPageWikiLink Unitary_operator.
- Noncommutative_torus wikiPageWikiLink Universal_C*-algebra.
- Noncommutative_torus wikiPageWikiLinkText "irrational rotation algebras".
- Noncommutative_torus wikiPageWikiLinkText "noncommutative tori".
- Noncommutative_torus wikiPageWikiLinkText "noncommutative torus".
- Noncommutative_torus wikiPageUsesTemplate Template:Pi.
- Noncommutative_torus subject Category:C*-algebras.
- Noncommutative_torus subject Category:Noncommutative_geometry.
- Noncommutative_torus type Algebra.
- Noncommutative_torus comment "In mathematics, and more specifically in the theory of C*-algebras, the noncommutative tori Aθ, also known as irrational rotation algebras for irrational values of θ, form a family of noncommutative C*-algebras which generalize the algebra of continuous functions on the 2-torus. Many topological and geometric properties of the classical 2-torus have algebraic analogues for the noncommutative tori, and as such they are fundamental examples of a noncommutative space in the sense of Alain Connes.".
- Noncommutative_torus label "Noncommutative torus".
- Noncommutative_torus sameAs Q3532264.
- Noncommutative_torus sameAs Tore_non_commutatif.
- Noncommutative_torus sameAs 비가환_원환면.
- Noncommutative_torus sameAs m.05q599k.
- Noncommutative_torus sameAs Q3532264.
- Noncommutative_torus wasDerivedFrom Noncommutative_torus?oldid=701547955.
- Noncommutative_torus isPrimaryTopicOf Noncommutative_torus.