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SUMMARY:Quantum Cellular Automata over discrete groups - Paolo Boldrini (C
 halmers University of Technology)
DTSTART:20250703T105500Z
DTEND:20250703T110000Z
UID:TALK233827@talks.cam.ac.uk
DESCRIPTION:Given a finite set $k$ and a countable discrete group $G$\, a 
 cellular automaton is a continuous map from $k^G$ to itself which is equiv
 ariant with respect to the Bernoulli shift. In this lightning talk\, I wil
 l explore a noncommutative analogue of this concept\, where the finite set
  $k$ is replaced by a finite-dimensional C*-algebra and the Cartesian prod
 uct $k^G$ is replaced by an infinite tensor product. These objects\, known
  as quantum cellular automata\, were introduced by Schumacher and Werner\,
  with a primary focus on the case of integer actions and simple finite dim
 ensional C*-algebras. I will present generalizations of some of their resu
 lts to more general groups\, and discuss some questions that arise in this
  broader context.
LOCATION:External
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