BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Grigoris Kopsacheilis (KU Leuven\, Belgium)
DTSTART:20261028T190000Z
DTEND:20261028T200000Z
DTSTAMP:20261022T012618Z
UID:NYC-NCG/228
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/228/
 ">Diagonal dimension and intermediate sub-C*-algebras</a>\nby Grigoris Kop
 sacheilis (KU Leuven\, Belgium) as part of Noncommutative geometry in NYC\
 n\n\nAbstract\nThe study of C*-diagonals goes back to Kumjian’s work in 
 the 1980s (building on Feldman and Moore’s analysis of Cartan subalgebra
 s in von Neumann algebras and Renault’s work on Cartan sub-C*-algebras) 
 and has lately been receiving renewed interest due to connections with cla
 ssification theory of C*-algebras. Recently K. Li\, H. Liao and W. Winter 
 developed the theory of diagonal dimension for C*-pairs: inspired by Winte
 r’s nuclear dimension (which captures a noncommutative analogue of cover
 ing dimension and plays a central role in classification theory)\, diagona
 l dimension records the fine structure of a C*-diagonal’s intrinsic dyna
 mics\, has natural permanence properties\, and connects with established d
 imension theories in topological dynamics and groupoid theory.\n\nIn this 
 talk\, we discuss a relevant permanence property: finite diagonal dimensio
 n passes to intermediate subalgebras. Consequently\, all such intermediate
  sub-C*-algebras have finite nuclear dimension in their own right\, in con
 trast with the behavior of an arbitrary sub-C*-algebra that in general nee
 d not even be nuclear. We discuss the estimate on the diagonal dimension o
 f intermediate subalgebras\, some of the key ideas underlying its proof\, 
 and some related open questions.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/228/
END:VEVENT
END:VCALENDAR