Strongly Self-absorbing actions on the Jiang-Su algebra
Qingyun Wang 王青云 (University of Oregon)
10:00- 11:00, July 21, 2017 Science Building A1510
Abstract:
In this talk, we shall construct, for any finite group $G$,
and action $\alpha$ of $G$ on the Jiang-Su algebra which we call the
model action. The model action is strongly outer, and is conjugate to
the tensor product of two copies of the model action. Moreover, we show
that, if $A$ is any simple separable unital nuclear C*-algebra which
tensorially absorbs the Jiang-Su algebra and has a reasonable 'nice'
trace space, then any strongly outer action of $G$ on $A$ will
tensorially absorbs our model action. This could be viewed as a
C*-analogue of the model actions for actions on von Neumann algebras
constructed by Connes, Jones and Ocneanu, or an equivariant version of
the Jiang-Su algebra.
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