\(C^*\) 利维特-路径代数回调的补全

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2022-07-15 DOI:10.1007/s10485-022-09685-x

Alexandru Chirvasitu

引用次数: 2

摘要

我们证明了关于紧群作用的\(*\) -代数等变的某些回拉在完成到\(C^*\) -代数后仍然是回拉。这统一了一些关于图代数的文献结果，表明Leavitt路径代数的回调自动提升到相应图\(C^*\) -代数的回调。

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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\(C^*\) Completions of Leavitt-Path-Algebra Pullbacks

We show that certain pullbacks of \(*\)-algebras equivariant with respect to a compact group action remain pullbacks upon completing to \(C^*\)-algebras. This unifies a number of results in the literature on graph algebras, showing that pullbacks of Leavitt path algebras lift automatically to pullbacks of the corresponding graph \(C^*\)-algebras.

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来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.