2025 CMS Summer Meeting
Quebec City, June 6 - 9, 2025
Harmonic Analysis: commutative to non-commutative
Org: Benjamin Anderson-Sackenay (University of Victoria), Matthias Neufang (Carleton University) and Nico Spronk (University of Waterloo)
Org: Benjamin Anderson-Sackenay (University of Victoria), Matthias Neufang (Carleton University) and Nico Spronk (University of Waterloo)
- BENJAMIN ANDERSON-SACKENAY, University of Victoria
- JOERI DE RO, VU Brussels
- REZA ESMAILVANDI LERI, Carleton University
- MEHDI MONFARED, University of Windsor
- VOLKER RUNDE, University of Alberta
- EBRAHIM SAMEI, University of Saskatchewan
- NICO SPRONK, University of Waterloo
- ROSS STOKKE, University of Winnipeg
- ALEKSA VUJICIC, University of Waterloo
- MATT WIERSMA, University of Winnipeg
On operator Connes-amenability of $B(G)$ [PDF]
- JOERI DE RO, VU Brussels
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Runde introduced Connes-amenability as a notion of amenability for dual Banach algebras in 2001, and subsequently showed that the measure algebra $M(G)$ of a locally compact group is Connes-amenable if and only if $G$ is amenable in 2003. By analog, one might guess that the Fourier-Stieltjes algebra $B(G)$ is operator Connes-amenable if and only if $G$ is amenable, but this is not the case since it fails for $G=\mathbb F_2$ (Runde-Spronk, 2004). In this talk, we will describe conditions that imply the failure of operator Connes-amenability for $B(G)$. This provides the first known examples of groups where $B(G)$ fails to be operator Connes-amenable.
This is based on joint work with V. Runde and N. Spronk.
- YONG ZHANG, University of Manitoba