Approximation properties for crossed products by actions and coactions

May M. Nilsen; Roger R. Smith

doi:10.1142/S0129167X01000848

Approximation properties for crossed products by actions and coactions

May M. Nilsen, Roger R. Smith

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We investigate approximation properties for C*-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable groups, and we show why this is not always true in the non-amenable case. We also examine similar questions for other forms of the approximation property.

Original language	English (US)
Pages (from-to)	595-608
Number of pages	14
Journal	International Journal of Mathematics
Volume	12
Issue number	5
DOIs	https://doi.org/10.1142/S0129167X01000848
State	Published - Jul 2001
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1142/S0129167X01000848

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title = "Approximation properties for crossed products by actions and coactions",

abstract = "We investigate approximation properties for C*-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable groups, and we show why this is not always true in the non-amenable case. We also examine similar questions for other forms of the approximation property.",

author = "Nilsen, {May M.} and Smith, {Roger R.}",

note = "Funding Information: ∗Partially supported by a Grant from the National Science Foundation.",

year = "2001",

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AU - Nilsen, May M.

AU - Smith, Roger R.

N1 - Funding Information: ∗Partially supported by a Grant from the National Science Foundation.

PY - 2001/7

Y1 - 2001/7

N2 - We investigate approximation properties for C*-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable groups, and we show why this is not always true in the non-amenable case. We also examine similar questions for other forms of the approximation property.

AB - We investigate approximation properties for C*-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable groups, and we show why this is not always true in the non-amenable case. We also examine similar questions for other forms of the approximation property.

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U2 - 10.1142/S0129167X01000848

DO - 10.1142/S0129167X01000848

M3 - Article

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SP - 595

EP - 608

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 5

ER -

Approximation properties for crossed products by actions and coactions

Abstract

ASJC Scopus subject areas

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