PRIMITIVE IDEAL SPACE OF $C^*(R_+)\rtimes R^\times $

Abstract For an integral domain R satisfying certain conditions, we characterise the primitive ideal space and its Jacobson topology for the semigroup crossed product $C^*(R_+) \rtimes R^\times $ . We illustrate the result by the example $R=\mathbb {Z}[\sqrt {-3}]$ .

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2024-12-25
DOI
https://doi.org/10.1017/s0004972724001163
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

PRIMITIVE IDEAL SPACE OF $C^*(R_+)\rtimes R^\times $

XIAOHUI CHEN, H. Li
Bulletin of the Australian Mathematical Society
Holomorphic and Operator Theory
article

PRIMITIVE IDEAL SPACE OF $C^*(R_+)\rtimes R^\times $

XIAOHUI CHEN, H. Li
article en

Abstract

Abstract For an integral domain R satisfying certain conditions, we characterise the primitive ideal space and its Jacobson topology for the semigroup crossed product $C^*(R_+) \rtimes R^\times $ . We illustrate the result by the example $R=\mathbb {Z}[\sqrt {-3}]$ .

Bulletin of the Australian Mathematical SocietyVol. 112(2)
North China Electric Power University (CN)
Fundamental Research Funds for the Central Universities
Openalex Percentile: Top 60%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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PRIMITIVE IDEAL SPACE OF $C^*(R_+)\rtimes R^\times $ — XIAOHUI CHEN, H. Li · Bulletin of the Australian Mathematical Society (2024) | TGRS Research Map | TGRS