Type of some nuclear subalgebras of the Toeplitz algebra generated by the inverse subsemigroups of a bicyclic semigroup

• Datum: 2017
• Hauptverfasser: Оvsepyan, K. H., Овсепян, К. Г.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1802
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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,...