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Semi-étale groupoids and applications

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Semi-étale groupoids and applications. / Thomsen, Klaus.

I: Annales de l'Institut Fourier, Bind 60, Nr. 3, 2010, s. 759-800.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

Harvard

Thomsen, K 2010, 'Semi-étale groupoids and applications', Annales de l'Institut Fourier, bind 60, nr. 3, s. 759-800. <http://aif.cedram.org/aif-bin/item?id=AIF_2010__60_3_759_0>

APA

CBE

Thomsen K. 2010. Semi-étale groupoids and applications. Annales de l'Institut Fourier. 60(3):759-800.

MLA

Thomsen, Klaus. "Semi-étale groupoids and applications". Annales de l'Institut Fourier. 2010, 60(3). 759-800.

Vancouver

Thomsen K. Semi-étale groupoids and applications. Annales de l'Institut Fourier. 2010;60(3):759-800.

Author

Thomsen, Klaus. / Semi-étale groupoids and applications. I: Annales de l'Institut Fourier. 2010 ; Bind 60, Nr. 3. s. 759-800.

Bibtex

@article{fc037a1002b411e083f5000ea68e967b,
title = "Semi-{\'e}tale groupoids and applications",
abstract = "We associate a C * -algebra to a locally compact Hausdorff groupoid with the property that the range map is locally injective. The construction generalizes J. Renault{\textquoteright}s reduced groupoid C * -algebra of an {\'e}tale groupoid and has the advantage that it works for the groupoid arising from a locally injective dynamical system by the method introduced in increasing generality by Renault, Deaconu and Anantharaman-Delaroche. We study the C * -algebras of such groupoids and give necessary and sufficient conditions for simplicity, and show that many of them contain a Cartan subalgebra as defined by Renault. In particular, this holds when the dynamical system is a shift space, in which case the C * -algebra coincides with the one introduced by Matsumoto and Carlsen.",
author = "Klaus Thomsen",
year = "2010",
language = "English",
volume = "60",
pages = "759--800",
journal = "Annales de l'Institut Fourier",
issn = "0373-0956",
publisher = "Institut Fourier",
number = "3",

}

RIS

TY - JOUR

T1 - Semi-étale groupoids and applications

AU - Thomsen, Klaus

PY - 2010

Y1 - 2010

N2 - We associate a C * -algebra to a locally compact Hausdorff groupoid with the property that the range map is locally injective. The construction generalizes J. Renault’s reduced groupoid C * -algebra of an étale groupoid and has the advantage that it works for the groupoid arising from a locally injective dynamical system by the method introduced in increasing generality by Renault, Deaconu and Anantharaman-Delaroche. We study the C * -algebras of such groupoids and give necessary and sufficient conditions for simplicity, and show that many of them contain a Cartan subalgebra as defined by Renault. In particular, this holds when the dynamical system is a shift space, in which case the C * -algebra coincides with the one introduced by Matsumoto and Carlsen.

AB - We associate a C * -algebra to a locally compact Hausdorff groupoid with the property that the range map is locally injective. The construction generalizes J. Renault’s reduced groupoid C * -algebra of an étale groupoid and has the advantage that it works for the groupoid arising from a locally injective dynamical system by the method introduced in increasing generality by Renault, Deaconu and Anantharaman-Delaroche. We study the C * -algebras of such groupoids and give necessary and sufficient conditions for simplicity, and show that many of them contain a Cartan subalgebra as defined by Renault. In particular, this holds when the dynamical system is a shift space, in which case the C * -algebra coincides with the one introduced by Matsumoto and Carlsen.

M3 - Journal article

VL - 60

SP - 759

EP - 800

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

SN - 0373-0956

IS - 3

ER -