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SUMMARY:S. Petrakos (WWU Münster\, Germany)
DTSTART:20230512T140000Z
DTEND:20230512T160000Z
DTSTAMP:20260415T032053Z
UID:AthensFAOA/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AthensFAOA/6
 0/">Dynamical Alternating Groups</a>\nby S. Petrakos (WWU Münster\, Germa
 ny) as part of Functional analysis and operator algebras in Athens\n\n\nAb
 stract\nTopological full groups form a very important class of groups aris
 ing from\ndynamical systems and\, more generally\, étale groupoids. Their
  subgroups\, especially the\nalternating subgroup\, have been proven to ex
 hibit various properties\, some of which were\nrarely or never before witn
 essed. In this talk I will introduce these groups in the dynamical\nsettin
 g and go through some of the most important past results on the topic\, fo
 cusing on\nthose of operator-algebraic interest. I will then briefly intro
 duce the concept of almost\nfiniteness and present a recent result obtaine
 d in joint work with Petr Naryshkin. We prove\nthat if a subgroup of a TFG
  is amenable and contains the alternating subgroup\, then all its\nfree ac
 tions on finite-dimensional compact metrizable spaces are almost finite.\n
LOCATION:https://researchseminars.org/talk/AthensFAOA/60/
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