Exact large ideals of B(G) are downward directed

Steven Kaliszewski; Magnus B. Landstad; John Quigg

doi:10.1090/proc/13100

Exact large ideals of B(G) are downward directed

Steven Kaliszewski, Magnus B. Landstad, John Quigg

Mathematical and Statistical Sciences, School of (SoMSS)

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

3 Scopus citations

Abstract

We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E ∩ F. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.

Original language	English (US)
Pages (from-to)	4401-4412
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	10
DOIs	https://doi.org/10.1090/proc/13100
State	Published - Oct 2016

Keywords

Action
Coaction
Crossed product
Exact sequence
Fourier-Stieltjes algebra
Morita compatible

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "Exact large ideals of B(G) are downward directed",

abstract = "We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E ∩ F. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.",

keywords = "Action, Coaction, Crossed product, Exact sequence, Fourier-Stieltjes algebra, Morita compatible",

author = "Steven Kaliszewski and Landstad, {Magnus B.} and John Quigg",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

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T1 - Exact large ideals of B(G) are downward directed

AU - Kaliszewski, Steven

AU - Landstad, Magnus B.

AU - Quigg, John

PY - 2016/10

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N2 - We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E ∩ F. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.

AB - We prove that if E and F are large ideals of B(G) for which the associated coaction functors are exact, then the same is true for E ∩ F. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.

KW - Action

KW - Coaction

KW - Crossed product

KW - Exact sequence

KW - Fourier-Stieltjes algebra

KW - Morita compatible

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DO - 10.1090/proc/13100

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

Exact large ideals of B(G) are downward directed

Abstract

Keywords

ASJC Scopus subject areas

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