Piotr Mikołaj Sołtan, Ami Viselter
Abstract
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Abstract In this short note we introduce a notion called quantum injectivity of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. In particular, this provides a new characterization of amenability of locally compact groups.
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Abstract In this short note we introduce a notion called quantum injectivity of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. In particular, this provides a new characterization of amenability of locally compact groups.
Key concepts: Locally compact space, Mathematics, Locally compact group, Pure mathematics, Quantum, Noncommutative harmonic analysis, Characterization (materials science), Dual (grammatical number)