Crossed products of -dynamical systems with ground states
Author:
Masaharu Kusuda
Journal:
Proc. Amer. Math. Soc. 89 (1983), 273-278
MSC:
Primary 46L55; Secondary 46L40
DOI:
https://doi.org/10.1090/S0002-9939-1983-0712636-9
MathSciNet review:
712636
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be the crossed product associated with a
-dynamical system
. We show that if there is a ground state for
. then there is an ideal
in
such that if
, then
. where
is the dual automorphism group on
, and such that
. Conversely, we show that if
is unital, and if
has such a decomposition for some proper ideal
. then
has a ground state.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0712636-9
Article copyright:
© Copyright 1983
American Mathematical Society