K- GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA

Author(s)

K- GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA Karen Hovsepyan

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.

DOI: 10.46991/PYSU:A/2017.51.3.224 Physical and Mathematical Sciences, 51(3 (244) 224-230

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Keywords

Toeplitz algebra, inverse subsemigroup of the bicyclic semigroup, K-group, inductive limit.

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