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K- GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA

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Abstract

In the paper K-groups of C∗-subalgebras of the Toeplitz algebra generated by inverse subsemigroups of the bicyclic semigroup are discussed. For these algebras inductive limit of inductive sequence of K-groups, which are generated by the corresponding inductive sequence of C∗-algebras is constructed.

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