JournalsprimsVol. 50, No. 2pp. 251–268

On Nuclearity of CC*-algebras of Fell Bundles over Étale Groupoids

  • Takuya Takeishi

    University of Tokyo, Japan
On Nuclearity of $C*$-algebras of Fell Bundles over Étale Groupoids  cover
Download PDF

Abstract

We show the nuclearity of the reduced CC*-algebra of a Fell bundle over an etale amenable groupoid, whose bers over the unit space are all nuclear. We introduce the (minimal) tensor product of a Fell bundle and a CC*-algebra in order to show the uniqueness of tensor product norms.

Cite this article

Takuya Takeishi, On Nuclearity of CC*-algebras of Fell Bundles over Étale Groupoids . Publ. Res. Inst. Math. Sci. 50 (2014), no. 2, pp. 251–268

DOI 10.4171/PRIMS/132