Amplified graph C*-algebras II: Reconstruction

Søren Eilers; Efren Ruiz; Aidan Sims

doi:10.1090/bproc/112

Amplified graph C*-algebras II: Reconstruction

Søren Eilers, Efren Ruiz, Aidan Sims

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

2 Citations (Scopus)

19 Downloads (Pure)

Abstract

Let E be a countable directed graph that is amplified in the sense that whenever there is an edge from v to w, there are infinitely many edges from v to w. We show that E can be recovered from C^*(E) together with its canonical gauge-action, and also from L_K(E) together with its canonical grading.

Original language	English
Journal	Proceedings of the American Mathematical Society
Volume	9
Pages (from-to)	297-310
ISSN	0002-9939
DOIs	https://doi.org/10.1090/bproc/112
Publication status	Published - 2022

Bibliographical note

Publisher Copyright:
© 2022 by the author(s) under Creative Commons Attribution 3.0 License.

Keywords

Amplified graph

Access to Document

10.1090/bproc/112Licence: CC BY

FulltextFinal published version, 256 KBLicence: CC BY

Cite this

@article{7381334b33ad4688837b2ca4d243036f,

title = "Amplified graph C*-algebras II: Reconstruction",

abstract = "Let E be a countable directed graph that is amplified in the sense that whenever there is an edge from v to w, there are infinitely many edges from v to w. We show that E can be recovered from C*(E) together with its canonical gauge-action, and also from LK(E) together with its canonical grading.",

keywords = "Amplified graph",

author = "S{\o}ren Eilers and Efren Ruiz and Aidan Sims",

note = "Publisher Copyright: {\textcopyright} 2022 by the author(s) under Creative Commons Attribution 3.0 License.",

year = "2022",

doi = "10.1090/bproc/112",

language = "English",

volume = "9",

pages = "297--310",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

}

TY - JOUR

T1 - Amplified graph C*-algebras II

T2 - Reconstruction

AU - Eilers, Søren

AU - Ruiz, Efren

AU - Sims, Aidan

PY - 2022

Y1 - 2022

N2 - Let E be a countable directed graph that is amplified in the sense that whenever there is an edge from v to w, there are infinitely many edges from v to w. We show that E can be recovered from C*(E) together with its canonical gauge-action, and also from LK(E) together with its canonical grading.

AB - Let E be a countable directed graph that is amplified in the sense that whenever there is an edge from v to w, there are infinitely many edges from v to w. We show that E can be recovered from C*(E) together with its canonical gauge-action, and also from LK(E) together with its canonical grading.

KW - Amplified graph

UR - http://www.scopus.com/inward/record.url?scp=85135439534&partnerID=8YFLogxK

U2 - 10.1090/bproc/112

DO - 10.1090/bproc/112

M3 - Journal article

AN - SCOPUS:85135439534

VL - 9

SP - 297

EP - 310

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

ER -