THE C∗-ALGEBRA Tm AS A CROSSED PRODUCT

Karen Hovsepyan

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Abstract

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.

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THE C∗-ALGEBRA Tm AS A CROSSED PRODUCT

Abstract

Author(s)

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THE C∗-ALGEBRA Tm AS A CROSSED PRODUCT

Abstract

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