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Erratum to ``A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonal''


Author: Volker Runde
Journal: Trans. Amer. Math. Soc. 367 (2015), 751-754
MSC (2010): Primary 43A10; Secondary 22A15, 22A20, 43A07, 46H20, 46H25
Published electronically: September 19, 2014
Original Article: Trans. Amer. Math. Soc. 358 (2006), 391-402
MathSciNet review: 3271276
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Abstract: In Trans. Amer. Math. Soc., vol. 358 (2006), pp. 391-402, we claimed that, for an amenable, non-compact $ [\mathrm {SIN}]$-group $ G$, the dual Banach algebra $ \mathcal {WAP}(G)^\ast $ is Connes-amenable, but lacks a normal virtual diagonal. The proof presented contains a gap. In this erratum, we indicate how the faulty proof can be repaired.


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Additional Information

Volker Runde
Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: vrunde@ualberta.ca

DOI: https://doi.org/10.1090/S0002-9947-2014-06430-1
Keywords: Locally compact groups, Connes-amenability, normal, virtual diagonals, weakly almost periodic functions, semigroup compactifications, measure algebras of semigroups
Received by editor(s): June 1, 2013
Received by editor(s) in revised form: February 26, 2014
Published electronically: September 19, 2014
Additional Notes: This research was supported by NSERC
Article copyright: © Copyright 2014 American Mathematical Society