-function of noncommutative tori
arXiv:0912.4905 · doi:10.1007/s43036-023-00282-w
Abstract
We introduce an analog of the -function for noncommutative tori. It is proved that such a function coincides with the Hasse-Weil -function of an elliptic curve with complex multiplication. As a corollary, one gets a localization formula for the noncommutative tori with real multiplication.
to appear Advances in Operator Theory