Crossed product C$^*$-algebras associated with p-adic multiplication

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-06-13 DOI:10.1007/s43034-024-00372-7

Shelley Hebert, Slawomir Klimek, Matt McBride, J. Wilson Peoples

引用次数: 0

Abstract

We introduce and investigate some examples of C$^*$-algebras which are related to multiplication maps in the ring of p-adic integers. We find ideals within these algebras and use the corresponding short exact sequences to compute the K-theory.

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与 p-adic 乘法相关的交叉积 C$$^*$$ 算法

我们介绍并研究了一些与 p-adic 整数环中的乘法映射相关的 C$^*$- 算法的例子。我们在这些代数中找到理想，并使用相应的短精确序列来计算 K 理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.

Crossed product C\(^*\)-algebras associated with p-adic multiplication

Abstract