Some remarks on K0 of noncommutative tori

• Sayan Chakraborty ^[1]
  1. [1] Indian Statistical Institute (India)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 2, 2020, págs. 387-400
• Idioma: inglés
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• Resumen

  • Using Rieffel's construction of projective modules over higher dimensional noncommutative tori, we construct projective modules over some continuous field of C*-algebras whose fibres are noncommutative tori. Using a result of Echterhoff et al., our construction gives generators of K0 for all noncommutative tori.