Noncommutative torus
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.
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Noncommutative torus
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.
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Die irrationalen Rotationsalge ...... n irrationalen Winkel ergeben.
@de
In mathematics, and more speci ...... in the sense of Alain Connes.
@en
Le tore non commutatif associé ...... de géométrie non commutative.
@fr
비가환 기하학에서, 비가환 원환면(非可換圓環面, 영어: ...... 존재하는 연속 함수들의 C* 대수를 일반화한 것이다.
@ko
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Die irrationalen Rotationsalge ...... n irrationalen Winkel ergeben.
@de
In mathematics, and more speci ...... in the sense of Alain Connes.
@en
Le tore non commutatif associé ...... de géométrie non commutative.
@fr
비가환 기하학에서, 비가환 원환면(非可換圓環面, 영어: ...... 존재하는 연속 함수들의 C* 대수를 일반화한 것이다.
@ko
label
Irrationale Rotationsalgebra
@de
Noncommutative torus
@en
Tore non commutatif
@fr
비가환 원환면
@ko