The paper characterizes existence of amenable traces on C*-algebras via joint free numerical radius of unitaries/isometries/partial isometries and derives new obstructions to lifting properties.
On a Characterization of the Weak Expectation Property (WEP)
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abstract
We give a detailed proof of a new characterization of the Weak Expectation Property (WEP) announced by Haagerup in the 1990's but unavailable (in any form) till now. Our main result is motivated by a well known conjecture of Kirchberg, which is equivalent to the Connes embedding problem. We review the basic relevant facts connecting our main theorem with the latter conjecture, along the lines of our forthcoming lecture notes volume on the Connes-Kirchberg problem.
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math.OA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Amenable traces and the joint numerical radius
The paper characterizes existence of amenable traces on C*-algebras via joint free numerical radius of unitaries/isometries/partial isometries and derives new obstructions to lifting properties.