Rapid decay and polynomial growth for bicrossed products
Pierre Fima, Hua Wang
TL;DR
This paper investigates the properties of rapid decay and polynomial growth in the duals of bicrossed products formed from a matched pair of a discrete group and a compact group, advancing understanding of their harmonic analysis.
Contribution
It introduces new results on the rapid decay property and polynomial growth for duals of bicrossed products involving discrete and compact groups.
Findings
Established conditions for rapid decay in duals of bicrossed products.
Demonstrated polynomial growth behavior in specific bicrossed product duals.
Provided insights into harmonic analysis on these quantum group structures.
Abstract
We study the rapid decay property and polynomial growth for duals of bicrossed products coming from a matched pair of a discrete group and a compact group
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Taxonomy
TopicsAdvanced Operator Algebra Research · Spectral Theory in Mathematical Physics · Advanced Topics in Algebra