Locally compact sofic groups
Lewis Bowen, Peter Burton
TL;DR
This paper introduces the concept of soficity for locally compact groups, expanding the framework of sofic groups beyond discrete cases, and discusses open problems in this new area.
Contribution
It defines soficity for locally compact groups and presents several open problems to guide future research.
Findings
Introduced a new notion of soficity for locally compact groups
Outlined key open problems in the field
Extended the concept of sofic groups to a broader class
Abstract
We introduce the notion of soficity for locally compact groups and list a number of open problems.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Operator Algebra Research · Geometric and Algebraic Topology