Brownlowe, Nathan

Pask, David

Ramagge, Jacqui

Robertson, David

Whittaker, Michael F

2017-06

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

Semigroup Forum, 94(3), p. 500-519

1432-2137

0037-1912

https://hdl.handle.net/1959.11/31870

Springer New York LLC

Zappa-Szép product groupoids and C*-blends

Journal Article

Publication