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On the virtual automorphism group of a minimal flow

Part of: Topological dynamics Connections with other structures, applications

Published online by Cambridge University Press:  07 February 2020

JOSEPH AUSLANDER  and
ELI GLASNER
JOSEPH AUSLANDER
Affiliation:
Mathematics Department, The University of Maryland, College Park, MD 20742, USA email [email protected]
ELI GLASNER
Affiliation:
Department of Mathematics, Tel Aviv University, Tel Aviv, Israel email [email protected]
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Abstract

We introduce the notions ‘virtual automorphism group’ of a minimal flow and ‘semiregular flow’ and investigate the relationship between the virtual and actual group of automorphisms.

Keywords

semiregular minimal flowEllis groupMorse minimal setautomorphism group

MSC classification

Primary: 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.) 54H20: Topological dynamics
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 41 , Issue 5 , May 2021 , pp. 1281 - 1295
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Copyright
© The Author(s) 2020. Published by Cambridge University Press

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