C∗ Completions of Leavitt-Path-Algebra Pullbacks

Alexandru Chirvasitu

doi:10.1007/s10485-022-09685-x

C^∗ Completions of Leavitt-Path-Algebra Pullbacks

Alexandru Chirvasitu

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1123-1133
Number of pages	11
Journal	Applied Categorical Structures
Volume	30
Issue number	6
DOIs	https://doi.org/10.1007/s10485-022-09685-x
State	Published - Dec 2022

Keywords

graph C-algebra
Leavitt path algebra
pullback

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10.1007/s10485-022-09685-x

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title = "C∗ Completions of Leavitt-Path-Algebra Pullbacks",

abstract = "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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year = "2022",

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AB - 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.

KW - graph C-algebra

KW - Leavitt path algebra

KW - pullback

UR - https://www.scopus.com/pages/publications/85134354047

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M3 - Article

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ER -

C^∗ Completions of Leavitt-Path-Algebra Pullbacks

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Keywords

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