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  • Infinite C Algebra - new arxiv versiony

    Rights statement: First published in Proc. Amer. Math. Soc. 146 (2018), published by the American Mathematical Society. © 2018 American Mathematical Society.

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An infinite C*-algebra with a dense, stably finite *-subalgebra

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An infinite C*-algebra with a dense, stably finite *-subalgebra. / Laustsen, Niels Jakob; White, Jared.

In: Proceedings of the American Mathematical Society, Vol. 146, 03.2018, p. 2523-2528.

Research output: Contribution to journalJournal article

Harvard

Laustsen, NJ & White, J 2018, 'An infinite C*-algebra with a dense, stably finite *-subalgebra', Proceedings of the American Mathematical Society, vol. 146, pp. 2523-2528. https://doi.org/10.1090/proc/13931

APA

Vancouver

Laustsen NJ, White J. An infinite C*-algebra with a dense, stably finite *-subalgebra. Proceedings of the American Mathematical Society. 2018 Mar;146:2523-2528. https://doi.org/10.1090/proc/13931

Author

Laustsen, Niels Jakob ; White, Jared. / An infinite C*-algebra with a dense, stably finite *-subalgebra. In: Proceedings of the American Mathematical Society. 2018 ; Vol. 146. pp. 2523-2528.

Bibtex

@article{e7773b6a972a4ecb89723e6f75b8864f,
title = "An infinite C*-algebra with a dense, stably finite *-subalgebra",
abstract = "We construct a unital pre-C*-algebra $ A_0$ which is stably finite, in the sense that every left invertible square matrix over $ A_0$ is right invertible, while the C*-completion of $ A_0$ contains a nonunitary isometry, and so it is infinite.",
keywords = "C*-algebra, stably finite, infinite, completion, free product ",
author = "Laustsen, {Niels Jakob} and Jared White",
note = "First published in Proc. Amer. Math. Soc. 146 (2018), published by the American Mathematical Society. {\textcopyright} 2018 American Mathematical Society.",
year = "2018",
month = mar
doi = "10.1090/proc/13931",
language = "English",
volume = "146",
pages = "2523--2528",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",

}

RIS

TY - JOUR

T1 - An infinite C*-algebra with a dense, stably finite *-subalgebra

AU - Laustsen, Niels Jakob

AU - White, Jared

N1 - First published in Proc. Amer. Math. Soc. 146 (2018), published by the American Mathematical Society. © 2018 American Mathematical Society.

PY - 2018/3

Y1 - 2018/3

N2 - We construct a unital pre-C*-algebra $ A_0$ which is stably finite, in the sense that every left invertible square matrix over $ A_0$ is right invertible, while the C*-completion of $ A_0$ contains a nonunitary isometry, and so it is infinite.

AB - We construct a unital pre-C*-algebra $ A_0$ which is stably finite, in the sense that every left invertible square matrix over $ A_0$ is right invertible, while the C*-completion of $ A_0$ contains a nonunitary isometry, and so it is infinite.

KW - C-algebra

KW - stably finite

KW - infinite

KW - completion

KW - free product

U2 - 10.1090/proc/13931

DO - 10.1090/proc/13931

M3 - Journal article

VL - 146

SP - 2523

EP - 2528

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

ER -