Regularity of Villadsen algebras and characters on their central sequence algebras

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Regularity of Villadsen algebras and characters on their central sequence algebras. / Christensen, Martin S.

In: Mathematica Scandinavica, Vol. 123, No. 1, 2018, p. 121-141.

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

Harvard

Christensen, MS 2018, 'Regularity of Villadsen algebras and characters on their central sequence algebras', Mathematica Scandinavica, vol. 123, no. 1, pp. 121-141. https://doi.org/10.7146/math.scand.a-104840

APA

Christensen, M. S. (2018). Regularity of Villadsen algebras and characters on their central sequence algebras. Mathematica Scandinavica, 123(1), 121-141. https://doi.org/10.7146/math.scand.a-104840

Vancouver

Christensen MS. Regularity of Villadsen algebras and characters on their central sequence algebras. Mathematica Scandinavica. 2018;123(1):121-141. https://doi.org/10.7146/math.scand.a-104840

Author

Christensen, Martin S. / Regularity of Villadsen algebras and characters on their central sequence algebras. In: Mathematica Scandinavica. 2018 ; Vol. 123, No. 1. pp. 121-141.

Bibtex

@article{26060299c51449b882daca62a4e4a287,
title = "Regularity of Villadsen algebras and characters on their central sequence algebras",
abstract = "We show that if A is a simple Villadsen algebra of either the first type with seed space a finite dimensional CW complex, or of the second type, then A absorbs the Jiang-Su algebra tensorially if and only if the central sequence algebra of A does not admit characters. Additionally, in a joint appendix with Joan Bosa (see the following paper), we show that the Villadsen algebra of the second type with infinite stable rank fails the Corona Factorization Property, thus providing the first example of a unital, simple, separable and nuclear C*-algebra with a unique tracial state which fails to have this property.",
author = "Christensen, {Martin S.}",
year = "2018",
doi = "10.7146/math.scand.a-104840",
language = "English",
volume = "123",
pages = "121--141",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "1",

}

RIS

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AU - Christensen, Martin S.

PY - 2018

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N2 - We show that if A is a simple Villadsen algebra of either the first type with seed space a finite dimensional CW complex, or of the second type, then A absorbs the Jiang-Su algebra tensorially if and only if the central sequence algebra of A does not admit characters. Additionally, in a joint appendix with Joan Bosa (see the following paper), we show that the Villadsen algebra of the second type with infinite stable rank fails the Corona Factorization Property, thus providing the first example of a unital, simple, separable and nuclear C*-algebra with a unique tracial state which fails to have this property.

AB - We show that if A is a simple Villadsen algebra of either the first type with seed space a finite dimensional CW complex, or of the second type, then A absorbs the Jiang-Su algebra tensorially if and only if the central sequence algebra of A does not admit characters. Additionally, in a joint appendix with Joan Bosa (see the following paper), we show that the Villadsen algebra of the second type with infinite stable rank fails the Corona Factorization Property, thus providing the first example of a unital, simple, separable and nuclear C*-algebra with a unique tracial state which fails to have this property.

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U2 - 10.7146/math.scand.a-104840

DO - 10.7146/math.scand.a-104840

M3 - Journal article

AN - SCOPUS:85051065967

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SP - 121

EP - 141

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

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ER -

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