THE C∗-ALGEBRA Tm AS A CROSSED PRODUCT Karen Hovsepyan
In this paper we consider theC∗-subalgebraTmof the Toeplitz algebraTgenerated by monomials, which have an index divisible bym. We present thealgebraTmas a crossed product:Tm=φ(A)×δmZ, whereA=C0(Z+)⊕CIisC∗-algebra of all continuous functions onZ+, which have a finite limit atinfinity. In the casem=1 we obtain thatT=φ(A)×δ1Z, which is an analogueof Coburn’s theorem.
DOI: 10.46991/PYSUA.2014.48.3.024 Physical and Mathematical Sciences, 48(3 (235) 24-30
