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math.OA2007★ 1 cited
Classically normal pure states
Charles Akemann, Nik Weaver
A pure state f of a von Neumann algebra M is called classically normal if f is normal on any von Neumann subalgebra of M on which f is multiplicative. Assuming the continuum hypoth…
math.OA2007
Pure states on free group C*-algebras
Charles Akemann, Simon Wassermann, Nik Weaver
We prove that all of the pure states of the reduced C*-algebra of the free goup on generators are *-automorphism equivalent and extract some consequences of that fact.