Natural Science, Mathematics, 2025
K- GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA
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Submitted: 2025-02-04; Published: 2025-02-04
Š 2025 by author(s) and The Gufo Inc.
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(CC BY-NC 4.0).
Abstract
In the paper K-groups of Câ-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 Câ-algebras is constructed.