The composition series of ideals of the partial-isometric crossed product by the semigroup N2

Journal article

Authors/Editors

SAEID ZAHMATKESH KOMELEH

Strategic Research Themes

Other (Strategic Research Themes)

Publication Details

Author list: Saeid Zahmatkesh

Publication year: 2024

Volume number: 9

Issue number: 2

Start page: 1

End page: 32

Number of pages: 32

ISSN: 2538225X

URL: https://link.springer.com/article/10.1007/s43036-023-00300-x

Languages: English-Canada (EN-CA)

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Abstract

Suppose that α is an action of the semigroup N2 on a C∗-algebra A by endomorphisms. Let A×pisoαN2 be the associated partial-isometric crossed product. By applying an earlier result which embeds this semigroup crossed product (as a full corner) in a crossed product by the group Z2, a composition series 0≤L1≤L2≤A×pisoαN2 of essential ideals is obtained for which we identify the subquotients with familiar algebras.

Keywords

C*-algebra, automorphism, crossed product, partial isometry, primitive ideal, Crossed Product, Endomorphism, Partial-isometry, Semigroup