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YCor
YCor
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Can somebody provide an example of a locally Locally compact groupoid G with a haarsystemHaar system such that the range map restricted to isotropy groupoid of G is open

Can somebody provide an example of a locally compact groupoid $G$ with a Haar system such that the range map restricted to isotropy groupoid of $G$ is open?

I could not find any specific example for that. I just want to clarify whether the action groupoid G= H⋉X$G= H\ltimes X$ where H$H$ is a locally compact group and X$X$ a locally compact space is an example for this.

Can somebody provide an example of a locally compact groupoid G with a haarsystem such that the range map restricted to isotropy groupoid of G is open

I could not find any specific example for that. I just want to clarify whether the action groupoid G= H⋉X where H is a locally compact group and X a locally compact space is an example for this.

Locally compact groupoid with a Haar system such that the range map restricted to isotropy groupoid is open

Can somebody provide an example of a locally compact groupoid $G$ with a Haar system such that the range map restricted to isotropy groupoid of $G$ is open?

I could not find any specific example for that. I just want to clarify whether the action groupoid $G= H\ltimes X$ where $H$ is a locally compact group and $X$ a locally compact space is an example for this.

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K N Sridharan
K N Sridharan
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Can somebody provide an example of a locally compact groupoid G with a haarsystem such that the range map restricted to isotropy groupoid of G is open

I could not find any specific example for that. I just want to clarify whether the action groupoid G= H⋉X where H is a locally compact group and X a locally compact space is an example for this.