Diffeological Morita Equivalence

We introduce a new notion of Morita equivalence for diffeological groupoids, generalising the original notion for Lie groupoids. For this we develop a theory of diffeological groupoid actions, -bundles and -bibundles. We define a notion of principality for these bundles, which uses the notion of a subduction, generalising the notion of a Lie group(oid) principal bundle. We say two diffeological groupoids are Morita equivalent if and only if there exists a biprincipal bibundle between them. Using a Hilsum-Skandalis tensor product, we further define a composition of diffeological bibundles, and obtain a bicategory DiffBiBund. Our main result is the following: a bibundle is biprincipal if and only if it is weakly invertible in this bicategory. This generalises a well known theorem from the Lie groupoid theory. As an application of the framework, we prove that the orbit spaces of two Morita equivalent diffeological groupoids are diffeomorphic. We also show that the property of a diffeological groupoid to be fibrating, and its category of actions, are Morita invariants.Comment: 35 page

Vergeving in het “Onze Vader”: Een bijbels-theologische pastorale benadering

The petition for forgiveness in the Lord’s Prayer from a biblical theological pastoral perspective The Lord’s Prayer has a prominent place in the lives and liturgies of Christian faith communities. The petition for forgiveness in the prayer is accompanied by what seems to be a condition: “Forgive us our sins as we forgive those who sinned against us”. This “condition” can be a stumbling block for victims of violence perpetrated by people “who sinned against” them. The aim of the article is to provide a liberating perspective on the Lord’s Prayer so that it can contribute to the healing of women who have been sexually violated. Firstly, the concept “forgiveness” in the Old and New Testament is investigated. This leads to an investigation of the ethics of forgiveness in light of Levinas’ criticism of the Christian ethics of forgiveness. Narrative insights point to the possibility of reinterpreting the “us” in “forgive us our sins”. This liberates “victims” of violence to feel included in God’s grace and forgiveness, even though they may find it difficult or impossible to forgive the perpetrator

Vergeving in het “Onze Vader”: Een bijbels-theologische pastorale benadering

The Lord's Prayer has a prominent place in the lives and liturgies of Christian faith communities. The petition for forgiveness in the prayer is accompanied by what seems to be a condition: “Forgive us our sins as we forgive those who sinned against us”. This “condition” can be a stumbling block for victims of violence perpetrated by people “who sinned against” them. The aim of the article is to provide a liberating perspective on the Lord's Prayer so that it can contribute to the healing of women who have been sexually violated. Firstly, the concept “forgiveness” in the Old and New Testament is investigated. This leads to an investigation of the ethics of forgiveness in light of Levinas' criticism of the Christian ethics of forgiveness. Narrative insights point to the possibility of reinterpreting the “us” in “forgive us our sins”. This liberates “victims” of violence to feel included in God's grace and forgiveness, even though they may find it difficult or impossible to forgive the perpetrator. HTS Theological Studies Vol. 63 (2) 2007: pp. 773-78