BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:David Pitts (University of Nebraska-Lincoln)
DTSTART:20250416T190000Z
DTEND:20250416T200000Z
DTSTAMP:20260420T052909Z
UID:NYC-NCG/190
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/190/
 ">Pseudo-Cartan Inclusions and their Cartan Envelopes</a>\nby David Pitts 
 (University of Nebraska-Lincoln) as part of Noncommutative geometry in NYC
 \n\n\nAbstract\nI will discuss the class of pseudo-Cartan inclusions\,\n  
 which are a class of regular inclusions of $C^*$-algebras\n  $\\mathcal D\
 \subseteq \\mathcal C$ where $\\mathcal D$ is abelian.\n  This class inclu
 des several previously studied classes such as:\n  Cartan inclusions\, wea
 k Cartan inclusions and virtual Cartan\n  inclusions.\n\n  The class of ps
 eudo-Cartan inclusions coincides with the class of regular\n  inclusions h
 aving a Cartan envelope.   Roughly speaking\, a Cartan\n  envelope for a r
 egular inclusion  is a minimal Cartan inclusion into\n  which the inclusio
 n regularly embeds.\n\n  Pseudo-Cartan inclusions and their Cartan envelop
 es have desirable\n  properties: for example\, they\n  behave well under s
 uitable inductive limits and under minimal tensor\n  products.\n  \n  Time
  permitting\, I will describe some applications.  Here is a\n  sample Appl
 ication:  Suppose for $i=1\,2$\,\n  $(\\mathcal C_i\,\\mathcal D_i)$ are p
 seudo-Cartan inclusions and\n  $\\mathcal A_i$ are intermediate Banach alg
 ebras\,\n\\[\\mathcal D_i\\subseteq \\mathcal A_i\\subseteq \\mathcal C_i.
 \\]  If $\\theta: \\mathcal A_1\\rightarrow\n\\mathcal A_2$ is an isometri
 c isomorphism\, then $\\theta$ uniquely extends to a\n$*$-isomorphism of t
 he $C^*$-subalgebras of $\\mathcal C_i$ generated by \n$\\mathcal A_i$\,\n
 \\[\\tilde\\theta: C^*(\\mathcal A_1)\\rightarrow C^*(\\mathcal A_2).\\]\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/190/
END:VEVENT
END:VCALENDAR