Amenability of Banach and C$^*$-algebras generated by unitary representations

Stokke, Ross

doi:10.1090/s0002-9939-07-09221-0

Search citation statements

Order By: Relevance

Paper Sections

Select...

Final Remarks1

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 22 publications

(23 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The preprint [19] is, to some extent, a continuation of the work presented here. In it, we provide a class of examples for which the converse to Theorem 4.4 holds, and we study our Fourier algebras as operator Banach algebras, (especially with regards to operator amenability).…”

Section: Final Remarksmentioning

confidence: 73%

Amenable representations and coefficient subspaces of Fourier-Stieltjes algebras

Stokke¹

2006

MATH. SCAND.

Self Cite

View full text Add to dashboard Cite

Amenable unitary representations of a locally compact group, G, are studied in terms of associated coefficient subspaces of the Fourier-Stieltjes algebra B(G), and in terms of the existence of invariant and multiplicative states on associated von Neumann and C * -algebras. We introduce Fourier algebras and reduced Fourier-Stieltjes algebras associated to arbitrary representations, and study amenable representations in relation to these algebras.

show abstract

Section: Final Remarksmentioning

confidence: 73%