The author constructs a free product of M2(C) with a non-tracial state and L∞(0,1) with Lebesgue measure. He shows that this is a factor of type IIIλ with λ∈(0,1) and that the core of this factor is isomorphic to the tensor product of B(H) and L(F∞), the II1 factor of the free group on infinitely many generators.
Radulescu, F. (1995). A type IIIλ factor with core isomorphic to the von Neumann algebra of a free group, tensor B(H). ASTÉRISQUE, 232, 203-209.
A type IIIλ factor with core isomorphic to the von Neumann algebra of a free group, tensor B(H)
RADULESCU, FLORIN
1995-01-01
Abstract
The author constructs a free product of M2(C) with a non-tracial state and L∞(0,1) with Lebesgue measure. He shows that this is a factor of type IIIλ with λ∈(0,1) and that the core of this factor is isomorphic to the tensor product of B(H) and L(F∞), the II1 factor of the free group on infinitely many generators.File in questo prodotto:
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