Geodesic
$K$-Groups of some subalgebras of the Toeplitz algebra
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 3, pp. 224-230

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In this paper it is discussed $K$-groups of $C^*$-subalgebras of the Toeplitz algebra generated by inverse subsemigroups of the bicyclic semigroup. For these algebras constructed inductive limit of inductive sequence of $K$-groups, which are generated by the corresponding inductive sequence of $C^*$-algebras. 
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     title = {$K${-Groups} of some subalgebras of the {Toeplitz} algebra},
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K. H. Hovsepyan; A. V. Tsutsulyan. $K$-Groups of some subalgebras of the Toeplitz algebra. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 3, pp. 224-230. http://geodesic.mathdoc.fr/item/UZERU_2017_51_3_a2/