Abstract
We give another definition of orbital free entropy introduced by Hiai, Miyamoto, and us, which does not need the hyperfiniteness assumption for each given random multivariable. The present definition is somehow related to one of its several recent approaches due to Biane and Dabrowski, but can be shown to agree with the original definition completely, and is much closer to the original approach.
| Original language | English |
|---|---|
| Pages (from-to) | 551-577 |
| Number of pages | 27 |
| Journal | Indiana University Mathematics Journal |
| Volume | 63 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2014 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Cite this
Ueda, Y. (2014). Orbital free entropy, revisited. Indiana University Mathematics Journal, 63(2), 551-577. https://doi.org/10.1512/iumj.2014.63.5220