On Invariants $G(σ)$ and $Γ(σ)$ for an Automorphism Group of a von Neumann Algebra

Akio Ikunishi; Yoshiomi Nakagami

doi:10.2977/prims/1195190956

JournalsprimsVol. 12, No. 1pp. 1–30

On Invariants $G (σ)$ and $Γ (σ)$ for an Automorphism Group of a von Neumann Algebra

Akio Ikunishi
Tokyo Institute of Technology, Japan
Yoshiomi Nakagami
Tokyo Institute of Technology, Japan

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Abstract

An invariant $Γ$ for an automorphism group of a factor given by Connes is generalized to a general von Neumann algebra and the relation between $Γ$ and a characterization of an inner automorphism group of a von Neumann algebra due to Borchers are discussed.

Cite this article

Akio Ikunishi, Yoshiomi Nakagami, On Invariants $G (σ)$ and $Γ (σ)$ for an Automorphism Group of a von Neumann Algebra. Publ. Res. Inst. Math. Sci. 12 (1976), no. 1, pp. 1–30

DOI 10.2977/PRIMS/1195190956