Some remarks on $\mathrm{K}_0$ of noncommutative tori


  • Sayan Chakraborty



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 $\mathrm {K}_0$ for all noncommutative tori.


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How to Cite

Chakraborty, S. (2020). Some remarks on $\mathrm{K}_0$ of noncommutative tori. MATHEMATICA SCANDINAVICA, 126(2), 387–400.