$K$-GROUPS OF SOME SUBALGEBRAS OF THE TOEPLITZ ALGEBRA
DOI:
https://doi.org/10.46991/PYSU:A/2017.51.3.224Keywords:
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.
Downloads
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
Issue
Section
Mathematics
License
Copyright (c) 2017 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.