TY - JOUR
AU - K. H. Оvsepyan
PY - 2017/11/25
Y2 - 2023/10/01
TI - Type of some nuclear subalgebras of the Toeplitz algebra generated by the inverse
subsemigroups of a bicyclic semigroup
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 11
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1802
AB - We construct a $Z$-graded structure of the Toeplitz algebra and consider nuclear $C\ast$ -subalgebras of the Toeplitz algebragenerated by the inverse subsemigroups of the bicyclic semigroup. The types of these algebras with respect to the Toeplitzalgebra are determined. In addition, it is shown, that considered algebras are equipped with the structrure of Hilbert$C\ast$ -modules.
ER -