The polynomial endomorphisms of graph algebras

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Standard

The polynomial endomorphisms of graph algebras. / Johansen, Rune; Sørensen, Adam; Szymański, Wojciech.

I: Groups, Geometry, and Dynamics, Bind 14, Nr. 3, 2020, s. 1043-1075.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Johansen, R, Sørensen, A & Szymański, W 2020, 'The polynomial endomorphisms of graph algebras', Groups, Geometry, and Dynamics, bind 14, nr. 3, s. 1043-1075. https://doi.org/10.4171/GGD/574

APA

Johansen, R., Sørensen, A., & Szymański, W. (2020). The polynomial endomorphisms of graph algebras. Groups, Geometry, and Dynamics, 14(3), 1043-1075. https://doi.org/10.4171/GGD/574

Vancouver

Johansen R, Sørensen A, Szymański W. The polynomial endomorphisms of graph algebras. Groups, Geometry, and Dynamics. 2020;14(3):1043-1075. https://doi.org/10.4171/GGD/574

Author

Johansen, Rune ; Sørensen, Adam ; Szymański, Wojciech. / The polynomial endomorphisms of graph algebras. I: Groups, Geometry, and Dynamics. 2020 ; Bind 14, Nr. 3. s. 1043-1075.

Bibtex

@article{66b2af487f5945ecbbbdbe57614cbdea,
title = "The polynomial endomorphisms of graph algebras",
abstract = "We investigate polynomial endomorphisms of graph C∗-algebras and Leavitt path algebras. To this end, we define and analyze the coding graph corresponding to each such an endomorphism. We find an if and only if condition for the endomorphism to restrict to an automorphism of the diagonal MASA, which is stated in terms of synchronization of a certain labelling on the coding graph. We show that the dynamics induced this way on the space of infinite paths (the spectrum of the MASA) is generated by an asynchronous transducer.",
author = "Rune Johansen and Adam S{\o}rensen and Wojciech Szyma{\'n}ski",
year = "2020",
doi = "10.4171/GGD/574",
language = "English",
volume = "14",
pages = "1043--1075",
journal = "Groups, Geometry, and Dynamics",
issn = "1661-7207",
publisher = "European Mathematical Society Publishing House",
number = "3",

}

RIS

TY - JOUR

T1 - The polynomial endomorphisms of graph algebras

AU - Johansen, Rune

AU - Sørensen, Adam

AU - Szymański, Wojciech

PY - 2020

Y1 - 2020

N2 - We investigate polynomial endomorphisms of graph C∗-algebras and Leavitt path algebras. To this end, we define and analyze the coding graph corresponding to each such an endomorphism. We find an if and only if condition for the endomorphism to restrict to an automorphism of the diagonal MASA, which is stated in terms of synchronization of a certain labelling on the coding graph. We show that the dynamics induced this way on the space of infinite paths (the spectrum of the MASA) is generated by an asynchronous transducer.

AB - We investigate polynomial endomorphisms of graph C∗-algebras and Leavitt path algebras. To this end, we define and analyze the coding graph corresponding to each such an endomorphism. We find an if and only if condition for the endomorphism to restrict to an automorphism of the diagonal MASA, which is stated in terms of synchronization of a certain labelling on the coding graph. We show that the dynamics induced this way on the space of infinite paths (the spectrum of the MASA) is generated by an asynchronous transducer.

U2 - 10.4171/GGD/574

DO - 10.4171/GGD/574

M3 - Journal article

VL - 14

SP - 1043

EP - 1075

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

SN - 1661-7207

IS - 3

ER -

ID: 257658642