Vol. 177, No. 2, 1997

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Standard invariants for crossed products inclusions of factors

Fumio Hiai

Vol. 177 (1997), No. 2, 237–267
Abstract

When N M is an inclusion of factors with finite index and a group G acts on N M, we compare the standard invariants of N M and the crossed product inclusion N G M G. The cases when G is a discrete group and when G is a locally compact abelian group are separately considered. Applying to a common crossed product decomposition, we obtain comparison results between the type II and type III standard invariants of an inclusion of type III factors.

Milestones
Received: 20 March 1995
Published: 1 February 1997
Authors
Fumio Hiai
Ibaraki University
Mito, Ibaraki 310
Japan