A groupoid picture of the elek algebras

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A groupoid picture of the elek algebras. / Borys, Clemens.

I: Mathematica Scandinavica, Bind 127, Nr. 2, 2021, s. 185-208.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Borys, C 2021, 'A groupoid picture of the elek algebras', Mathematica Scandinavica, bind 127, nr. 2, s. 185-208. https://doi.org/10.7146/math.scand.a-122419

APA

Borys, C. (2021). A groupoid picture of the elek algebras. Mathematica Scandinavica, 127(2), 185-208. https://doi.org/10.7146/math.scand.a-122419

Vancouver

Borys C. A groupoid picture of the elek algebras. Mathematica Scandinavica. 2021;127(2):185-208. https://doi.org/10.7146/math.scand.a-122419

Author

Borys, Clemens. / A groupoid picture of the elek algebras. I: Mathematica Scandinavica. 2021 ; Bind 127, Nr. 2. s. 185-208.

Bibtex

@article{36dccc630a354bddbf4f15a956c37a28,
title = "A groupoid picture of the elek algebras",
abstract = "We reformulate a construction by Gabor Elek, which associates C*-algebras with uniformly recurrent subgroups, in the language of groupoid C*-algebras. This allows us to simplify several proofs from the original paper and add the converse direction to Elek's characterisation of nuclearity, showing that his sufficient condition is in fact necessary.We furthermore relate our groupoids to the dynamics of the group acting on its uniformly recurrent subgroup.",
author = "Clemens Borys",
note = "Publisher Copyright: {\textcopyright} 2021 Mathematica Scandinavica. All rights reserved.",
year = "2021",
doi = "10.7146/math.scand.a-122419",
language = "English",
volume = "127",
pages = "185--208",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "2",

}

RIS

TY - JOUR

T1 - A groupoid picture of the elek algebras

AU - Borys, Clemens

N1 - Publisher Copyright: © 2021 Mathematica Scandinavica. All rights reserved.

PY - 2021

Y1 - 2021

N2 - We reformulate a construction by Gabor Elek, which associates C*-algebras with uniformly recurrent subgroups, in the language of groupoid C*-algebras. This allows us to simplify several proofs from the original paper and add the converse direction to Elek's characterisation of nuclearity, showing that his sufficient condition is in fact necessary.We furthermore relate our groupoids to the dynamics of the group acting on its uniformly recurrent subgroup.

AB - We reformulate a construction by Gabor Elek, which associates C*-algebras with uniformly recurrent subgroups, in the language of groupoid C*-algebras. This allows us to simplify several proofs from the original paper and add the converse direction to Elek's characterisation of nuclearity, showing that his sufficient condition is in fact necessary.We furthermore relate our groupoids to the dynamics of the group acting on its uniformly recurrent subgroup.

UR - http://www.scopus.com/inward/record.url?scp=85118169815&partnerID=8YFLogxK

U2 - 10.7146/math.scand.a-122419

DO - 10.7146/math.scand.a-122419

M3 - Journal article

AN - SCOPUS:85118169815

VL - 127

SP - 185

EP - 208

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 2

ER -

ID: 284294861