Exact large ideals of $B(G)$ are downward directed
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- by S. Kaliszewski, Magnus B. Landstad and John Quigg PDF
- Proc. Amer. Math. Soc. 144 (2016), 4401-4412 Request permission
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 $E\cap F$. We also give an example of a coaction functor whose restriction to the maximal coactions does not come from any large ideal.References
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Additional Information
- S. Kaliszewski
- Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
- MR Author ID: 341615
- Email: kaliszewski@asu.edu
- Magnus B. Landstad
- Affiliation: Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
- MR Author ID: 109900
- Email: magnusla@math.ntnu.no
- John Quigg
- Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
- MR Author ID: 222703
- Email: quigg@asu.edu
- Received by editor(s): August 17, 2015
- Received by editor(s) in revised form: December 21, 2015
- Published electronically: April 25, 2016
- Communicated by: Adrian Ioana
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 4401-4412
- MSC (2010): Primary 46L55; Secondary 46M15
- DOI: https://doi.org/10.1090/proc/13100
- MathSciNet review: 3531190