Skip to main content
placeholder image

Amenability for fell bundles over groupoids

Journal Article


Download full-text (Open Access)

Abstract


  • We establish conditions under which the universal and reduced norms coincide for a Fell bundle over a groupoid. Specifically, we prove that the full and reduced C∗-algebras of any Fell bundle over a measurewise amenable groupoid coincide, and also that for a groupoid G whose orbit space is T0, the full and reduced algebras of a Fell bundle over G coincide if the full and reduced algebras of the restriction of the bundle to each isotropy group coincide.

UOW Authors


  •   Sims, Aidan
  •   Williams, Dana P. (external author)

Publication Date


  • 2013

Citation


  • Sims, A. & Williams, D. P. (2013). Amenability for fell bundles over groupoids. Illinois Journal of Mathematics, 57 (2), 429-444.

Scopus Eid


  • 2-s2.0-84906313032

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3800&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2791/

Number Of Pages


  • 15

Start Page


  • 429

End Page


  • 444

Volume


  • 57

Issue


  • 2

Place Of Publication


  • http://www.projecteuclid.org/euclid.ijm/1408453589

Abstract


  • We establish conditions under which the universal and reduced norms coincide for a Fell bundle over a groupoid. Specifically, we prove that the full and reduced C∗-algebras of any Fell bundle over a measurewise amenable groupoid coincide, and also that for a groupoid G whose orbit space is T0, the full and reduced algebras of a Fell bundle over G coincide if the full and reduced algebras of the restriction of the bundle to each isotropy group coincide.

UOW Authors


  •   Sims, Aidan
  •   Williams, Dana P. (external author)

Publication Date


  • 2013

Citation


  • Sims, A. & Williams, D. P. (2013). Amenability for fell bundles over groupoids. Illinois Journal of Mathematics, 57 (2), 429-444.

Scopus Eid


  • 2-s2.0-84906313032

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3800&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2791/

Number Of Pages


  • 15

Start Page


  • 429

End Page


  • 444

Volume


  • 57

Issue


  • 2

Place Of Publication


  • http://www.projecteuclid.org/euclid.ijm/1408453589