The C*-algebra T_m as a crossed product (T_m C*-հանրահաշիվն որպես խաչաձև արտադրյալ)

Abstract

In this paper we consider the C ∗ -subalgebra Tm of the Toeplitz algebra T generated by monomials, which have an index divisible by m. We present the algebra Tm as a crossed product: Tm = ϕ(A)×δm Z, where A = C0(Z+)⊕CI is C ∗ -algebra of all continuous functions on Z+, which have a finite limit at infinity. In the case m = 1 we obtain that T = ϕ(A)×δ1 Z, which is an analogue of Coburn’s theorem.