Mathematics > Operator Algebras
arXiv:2606.18369 (math)
[Submitted on 16 Jun 2026]
Abstract:We provide necessary and sufficient characterizations of the existence of an amenable trace on a C$^*$-algebra in terms of the joint free numerical radius of tuples of unitaries, isometries, and partial isometries in the algebra. We apply these results to obtain new obstructions to various lifting properties.
Submission history
From: Mizanur Rahaman [view email]
[v1]
Tue, 16 Jun 2026 18:17:10 UTC (20 KB)
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