Title

Zappa-Szép product groupoids and C∗-blends

RIS ID

105492

Publication Details

Brownlowe, N., Pask, D., Ramagge, J., Robertson, D. & Whittaker, M. F. (2016). Zappa–Szép product groupoids and C∗-blends. Semigroup Forum, 94 (3), 500-519.

Abstract

We study the external and internal Zappa-Szep product of topological groupoids. We show that under natural continuity assumptions the Zappa-Szep product groupoid is etale if and only if the individual groupoids are etale. In our main result we show that the C*-algebra of a locally compact Hausdorff etale Zappa-Szep product groupoid is a C*-blend, in the sense of Exel, of the individual groupoid C*-algebras. We finish with some examples, including groupoids built from *-commuting endomorphisms, and skew product groupoids.

Please refer to publisher version or contact your library.

Share

COinS
 

Link to publisher version (DOI)

http://dx.doi.org/10.1007/s00233-016-9775-z