K-Groups of some subalgebras of the Toeplitz algebra (Տյոպլիցյան հանրահաշվի որոշ ենթահանրահաշիվների K-խմբեր)

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.