Free Group Factors and Freeness
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The concept of freeness was actually introduced by Voiculescu in the context of operator algebras, more precisely, during his quest to understand the structure of special von Neumann algebras, related to free groups. We wish to recall here the relevant context and show how freeness shows up there very naturally and how it can provide some information about the structure of those von Neumann algebras.
- 137.A. Nica, R. Speicher, Lectures on the Combinatorics of Free Probability. London Mathematical Society Lecture Note Series, vol. 335 (Cambridge University Press, Cambridge, 2006)Google Scholar
- 179.D. Voiculescu, Circular and semicircular systems and free product factors, in Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory (Paris, 1989). Progress in Mathematics, vol. 92 (Birkhäuser Boston, Boston, MA, 1990), pp. 45–60Google Scholar