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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
  • P. Baum, E. Guentner, and R. Willett, Expanders, exact crossed products, and the Baum-Connes conjecture, arXiv:1311.2343 [math.OA].
  • A. Buss, S. Echterhoff, and R. Willett, Exotic crossed products and the Baum-Connes conjecture, arXiv:1409.4332 [math.OA].
  • A. Buss, S. Echterhoff, and R. Willett, Exotic Crossed Products, arXiv:1510.02556 [math.OA].
  • Siegfried Echterhoff, S. Kaliszewski, John Quigg, and Iain Raeburn, A categorical approach to imprimitivity theorems for $C^*$-dynamical systems, Mem. Amer. Math. Soc. 180 (2006), no. 850, viii+169. MR 2203930, DOI 10.1090/memo/0850
  • S. Kaliszewski, M. B. Landstad, and J. Quigg, Coaction functors, arXiv:1505.03487 [math.OA].
  • S. Kaliszewski, M. B. Landstad, and J. Quigg, Exotic coactions, Proc. Edinburgh Math. Soc., to appear, arXiv:1305.5489 [math.OA].
  • S. Kaliszewski, M. B. Landstad, and J. Quigg, Properness conditions for actions and coactions, arXiv:1504.03394 [math.OA].
  • S. Kaliszewski, Magnus B. Landstad, and John Quigg, Exotic group $C^*$-algebras in noncommutative duality, New York J. Math. 19 (2013), 689–711. MR 3141810
  • Rui Okayasu, Free group $C^*$-algebras associated with $\ell _p$, Internat. J. Math. 25 (2014), no. 7, 1450065, 12. MR 3238088, DOI 10.1142/S0129167X14500657
  • John C. Quigg, Full and reduced $C^*$-coactions, Math. Proc. Cambridge Philos. Soc. 116 (1994), no. 3, 435–450. MR 1291751, DOI 10.1017/S0305004100072728
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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