Abstract:
<br>
Hirshberg, Winter, and Zacharias introduced several versions of
"higher dimensional Rokhlin properties". We prove, for example,
that there is no action of any nontrivial finite group on the
Jiang-Su algebra, and no action of Z / 3 Z on the 2^{\infty}
UHF algebra, which has any higher dimensional Rokhlin property
with commuting towers. The proof is based on the generalization
to C*-algebras of the Atiyah-Segal Completion Theorem from
topology.
<br>
This is joint work with Ilan Hirshberg.