$K$-GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA

K.H. Hovsepyan; A.V. Tsutsulyan

doi:10.46991/PYSU:A/2017.51.3.224

$K$-GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA

Authors

K.H. Hovsepyan Ijevan Branch of Yerevan State University, Armenia
A.V. Tsutsulyan Ijevan Branch of Yerevan State University, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2017.51.3.224

Keywords:

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

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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Published

2017-12-15

How to Cite

Hovsepyan, K., & Tsutsulyan, A. (2017). $K$-GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA. Proceedings of the YSU A: Physical and Mathematical Sciences, 51(3 (244), 224–230. https://doi.org/10.46991/PYSU:A/2017.51.3.224