Timeline for Measure dependance of groupoid von Neumann algebra
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| 9 hours ago | vote | accept | Tomás Pacheco | ||
| 16 hours ago | comment | added | R W | This is not the usual definition. A measured groupoid is not a topological one additionally endowed with a quasi-invariant measure. Its standard definition doesn't involve any topology. | |
| yesterday | answer | added | Stefaan Vaes | timeline score: 6 | |
| yesterday | comment | added | Tomás Pacheco | A measured groupoid is a pair $(G,\mu)$ where $G$ is a locally compact groupoid (+ a Haar system) and $\mu$ a measure on the unit space $G^0$ that satisfies an invariance condition called quasi-invariance. The support of $\mu$ is the usual measure theoretic notion, i.e. the largest (closed) subset of $G^0$ for which every open neighbourhood of every point of the set has positive measure. | |
| yesterday | comment | added | R W | What do you mean by the support of $\mu$ if $G$ is a measured groupoid? | |
| yesterday | history | asked | Tomás Pacheco | CC BY-SA 4.0 |