19 citations · 54 across the 14 of their papers we have counts for
15 papers
Invariant Subspaces in the Dual of and
Brian Forrest, John Sawatzky, Aasaimani Thamizhazhagan
Let be a locally compact group. In this paper, we study various invariant subspaces of the duals of the algebras and obtained by taking the closure of the…
Arens regularity of ideals in , and
Brian Forrest, John Sawatzky, Aasaimani Thamizhazhagan
In this paper, we look at the question of when various ideals in the Fourier algebra or its closures and in, respectively, its multiplier and -multi…
Traces on locally compact groups
Brian Forrest, Nico Spronk, Matthew Wiersma
We conduct a systematic study of traces on locally compact groups, in particular traces on their universal and reduced C*-algebras. We introduce the trace kernel, and examine its r…
Existence of tracial states on reduced group C*-algebras
Brian E. Forrest, Nico Spronk, Matthew Wiersma
Let be a locally compact group. It is not always the case that its reduced C*-algebra admits a tracial state. We exhibit closely related necessary and sufficient con…
Operator ultra-amenability
Brian E. Forrest, Volker Runde, Kyle Schlitt
Extending M.\ Daws' definition of ultra-amenable Banach algebras, we introduce the notion of operator ultra-amenability for completely contractive Banach algebras. For a locally co…
Leinert sets and complemented ideals in Fourier algebras
Michael Brannan, Brian Forrest, Cameron Zwarich
Let be a locally compact group. We show how complemented ideals in the Fourier algebra of arise naturally from a class of thin sets known as Leinert sets. Moreover,…