@article{Оvsepyan_2017, title={Type of some nuclear subalgebras of the Toeplitz algebra generated by the inverse
subsemigroups of a bicyclic semigroup}, volume={69}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1802}, abstractNote={We construct a $Z$-graded structure of the Toeplitz algebra and consider nuclear $C\ast$ -subalgebras of the Toeplitz algebra
generated by the inverse subsemigroups of the bicyclic semigroup. The types of these algebras with respect to the Toeplitz
algebra are determined. In addition, it is shown, that considered algebras are equipped with the structrure of Hilbert
$C\ast$ -modules.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={ОvsepyanK. H.}, year={2017}, month={Nov.}, pages={1551-1563} }