TY - JOUR
T1 - The Mackey machine for crossed products by regular groupoids. II
AU - Goehle, Geoff
PY - 2012
Y1 - 2012
N2 - We prove that given a regular groupoid G whose isotropy subgroupoid S has a Haar system, along with a dynamical system (A, G, α), there is an action of G on the spectrum of A × S such that the spectrum of A × G is homeomorphic to the orbit space of this action via induction. In addition, we give a strengthening of these results in the case where the crossed product is a groupoid algebra.
AB - We prove that given a regular groupoid G whose isotropy subgroupoid S has a Haar system, along with a dynamical system (A, G, α), there is an action of G on the spectrum of A × S such that the spectrum of A × G is homeomorphic to the orbit space of this action via induction. In addition, we give a strengthening of these results in the case where the crossed product is a groupoid algebra.
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U2 - 10.1216/RMJ-2012-42-3-873
DO - 10.1216/RMJ-2012-42-3-873
M3 - Article
AN - SCOPUS:84873357171
SN - 0035-7596
VL - 42
SP - 873
EP - 900
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 3
ER -