2014; Physical and Mathematical Sciences, 48(3 (235): 24–30
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THE C∗-ALGEBRA Tm AS A CROSSED PRODUCT

Karen Hovsepyan*

Received: 2025-02-12 · Published: 2014-11-03

© 2014 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
THE C∗-ALGEBRA Tm AS A CROSSED PRODUCT
Author
Karen Hovsepyan
Published
2014-11-03
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2014.48.3.024

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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