Induced quasi-actions: a remark
Bruce Kleiner, Bernhard Leeb
TL;DR
This paper introduces the concept of induced quasi-actions as an analog to induced representations and uses this idea to improve existing rigidity results for product spaces.
Contribution
It presents the novel notion of induced quasi-actions and applies it to refine rigidity results in geometric group theory.
Findings
Introduces induced quasi-actions as a new concept.
Refines previous rigidity results for product spaces.
Provides a framework connecting representations and quasi-actions.
Abstract
In this note we observe that the notion of an induced representation has an analog for quasi-actions. We then use induced quasi-actions to refine some earlier rigidity results for product spaces.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research