Future directions in locally compact groups

Abstract

This text is the preprint version of the concluding chapter for the book New Directions in Locally Compact Groups published by Cambridge University Press in the series Lecture Notes of the LMS. The recent progress on locally compact groups surveyed in that volume also reveals the considerable extent of the unexplored territories. Therefore, we wish to conclude it by mentioning a few open problems related to the material covered in the book and that we consider important at the time of this writing.

References in corpus (8)

• Decomposing locally compact groups into simple pieces
• Locally normal subgroups of totally disconnected groups. Part II: Compactly generated simple groups
• The Dixmier problem, lamplighters and Burnside groups
• Approximate lattices
• Amenable Invariant Random Subgroups
• Locally compact wreath products
• A note on type I groups acting on d-regular trees
• Locally compact groups whose ergodic or minimal actions are all free

Cited by in corpus (1)

• Locally compact wreath products