Cuntz algebra (original) (raw)
In der Funktionalanalysis sind die sogenannten Cuntz-Algebren (nach Joachim Cuntz) eine spezielle Klasse von C*-Algebren, die von n paarweise orthogonalen Isometrien auf einem separablen Hilbertraum erzeugt werden.
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| dbo:abstract | In der Funktionalanalysis sind die sogenannten Cuntz-Algebren (nach Joachim Cuntz) eine spezielle Klasse von C*-Algebren, die von n paarweise orthogonalen Isometrien auf einem separablen Hilbertraum erzeugt werden. (de) In mathematics, the Cuntz algebra , named after Joachim Cuntz, is the universal C*-algebra generated by isometries of an infinite-dimensional Hilbert space satisfying certain relations. These algebras were introduced as the first concrete examples of a separable infinite simple C*-algebra, meaning as a Hilbert space, is isometric to the sequence space and it has no nontrivial closed ideals. These algebras are fundamental to the study of simple infinite C*-algebras since any such algebra contains, for any given n, a subalgebra that has as quotient. (en) Algebra Cuntza – dla danej liczby naturalnej uniwersalna C*-algebra, oznaczana symbolem generowana przez elementy spełniające relacje przy czym symbol oznacza deltę Kroneckera. Algebry te zostały skonstruowane przez . Algebry Cuntza są ośrodkowe, nuklearne i . Dla danej liczby zachodzi Ponieważ jest niezmiennikiem izomorficznym, dla algebry i nie są izomorficzne. (pl) |
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| rdfs:comment | In der Funktionalanalysis sind die sogenannten Cuntz-Algebren (nach Joachim Cuntz) eine spezielle Klasse von C*-Algebren, die von n paarweise orthogonalen Isometrien auf einem separablen Hilbertraum erzeugt werden. (de) In mathematics, the Cuntz algebra , named after Joachim Cuntz, is the universal C*-algebra generated by isometries of an infinite-dimensional Hilbert space satisfying certain relations. These algebras were introduced as the first concrete examples of a separable infinite simple C*-algebra, meaning as a Hilbert space, is isometric to the sequence space and it has no nontrivial closed ideals. These algebras are fundamental to the study of simple infinite C*-algebras since any such algebra contains, for any given n, a subalgebra that has as quotient. (en) Algebra Cuntza – dla danej liczby naturalnej uniwersalna C*-algebra, oznaczana symbolem generowana przez elementy spełniające relacje przy czym symbol oznacza deltę Kroneckera. Algebry te zostały skonstruowane przez . Algebry Cuntza są ośrodkowe, nuklearne i . Dla danej liczby zachodzi Ponieważ jest niezmiennikiem izomorficznym, dla algebry i nie są izomorficzne. (pl) |
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