Geometric classification of simple graph algebras

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

Standard

Geometric classification of simple graph algebras. / Sørensen, Adam Peder Wie.

In: Ergodic Theory and Dynamical Systems, Vol. 33, No. 4, 2013, p. 1199-1220.

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

Harvard

Sørensen, APW 2013, 'Geometric classification of simple graph algebras', Ergodic Theory and Dynamical Systems, vol. 33, no. 4, pp. 1199-1220. https://doi.org/10.1017/S0143385712000260

APA

Sørensen, A. P. W. (2013). Geometric classification of simple graph algebras. Ergodic Theory and Dynamical Systems, 33(4), 1199-1220. https://doi.org/10.1017/S0143385712000260

Vancouver

Sørensen APW. Geometric classification of simple graph algebras. Ergodic Theory and Dynamical Systems. 2013;33(4):1199-1220. https://doi.org/10.1017/S0143385712000260

Author

Sørensen, Adam Peder Wie. / Geometric classification of simple graph algebras. In: Ergodic Theory and Dynamical Systems. 2013 ; Vol. 33, No. 4. pp. 1199-1220.

Bibtex

@article{0a1e48dc132c4d62805462680d29821c,
title = "Geometric classification of simple graph algebras",
abstract = "Inspired by Franks{\textquoteright} classification of irreducible shifts of finite type, we provide a short list of allowed moves on graphs that preserve the stable isomorphism class of the associated C ∗ -algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.",
author = "S{\o}rensen, {Adam Peder Wie}",
year = "2013",
doi = "10.1017/S0143385712000260",
language = "English",
volume = "33",
pages = "1199--1220",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",
number = "4",

}

RIS

TY - JOUR

T1 - Geometric classification of simple graph algebras

AU - Sørensen, Adam Peder Wie

PY - 2013

Y1 - 2013

N2 - Inspired by Franks’ classification of irreducible shifts of finite type, we provide a short list of allowed moves on graphs that preserve the stable isomorphism class of the associated C ∗ -algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.

AB - Inspired by Franks’ classification of irreducible shifts of finite type, we provide a short list of allowed moves on graphs that preserve the stable isomorphism class of the associated C ∗ -algebras. We show that if two graphs have stably isomorphic and simple unital algebras then we can use these moves to transform one into the other.

U2 - 10.1017/S0143385712000260

DO - 10.1017/S0143385712000260

M3 - Journal article

VL - 33

SP - 1199

EP - 1220

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

IS - 4

ER -

ID: 99243300