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SUMMARY:Liting properties for C*-algebras : Local versus Global - Gilles P
 isier (Texas A&amp\;M University)
DTSTART:20240409T103000Z
DTEND:20240409T113000Z
UID:TALK213895@talks.cam.ac.uk
DESCRIPTION:The main problem we will consider is whether for a C*-algebra 
 the local lifting property (LLP)&nbsp\; implies the (global) lifting prope
 rty (LP). Kirchberg showed that this holds if the Connes embedding problem
 &nbsp\; has a positive solution (but it might hold even if its solution is
  negative). We suspect that our recently constructed examples of &nbsp\;no
 n-exact $C^*$-algebras with both LLP and the weak expectation property (WE
 P) might lead to a counterexample to this local implies global problem. We
  will describe all the preceding properties from the tensor product viewpo
 int :&nbsp\; indeed LLP\, LP\, and WEP each admit a very simple characteri
 zation in terms of minimal and maximal tensor products.
LOCATION:Seminar Room 1\, Newton Institute
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