34 citations · 249 across the 39 of their papers we have counts for
Showing 2006 · math.OAShow all
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math.OA2006★ 9 cited
Notes on microstate free entropy of projections
Fumio Hiai, Yoshimichi Ueda
We study the microstate free entropy of projections, and establish its basic properties similar to the self-adjoint variable case. Our main contribution is to characterize the pair…
math.OA2006
A relationship between HNN extensions and amalgamated free products in operator algebras
Yoshimichi Ueda
With a minor change made in the previous construction we observe that any reduced HNN extension is precisely a compressed algebra of a certain reduced amalgamated free product in b…
math.OA2006★ 13 cited
A log-Sobolev type inequality for free entropy of two projections
Fumio Hiai, Yoshimichi Ueda
We prove an inequality between the free entropy and the mutual free Fisher information for two projections, regarded as a free analog of the logarithmic Sobolev inequality. The pro…