J. Aust. Math. Soc.  73 (2002), 357-376
Characteristic invariant of tensor product actions and actions on crossed products

Yukako Miwa
  Division of Mathematical Sciences
  Osaka-Kyoiku University
  Kashiwara
  Osaka 582
  Japan
 
and
Yoshikazu Katayama
  Division of Mathematical Sciences
  Osaka-Kyoiku University
  Kashiwara
  Osaka 582
  Japan
  katayama@cc.osaka-kyoiku.ac.jp


Abstract
The first purpose of this paper is to give a tensor product formula of the characteristic invariant and modular invariant for a tensor product action of a discrete group G on AFD factors. The second purpose is to describe a characteristic invariant and modular invariant of the extended action to a crossed product in terms of the original invariants.
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