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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Bundles of C*-algebras around the Effros-Shen alge
 bras - Jack  Spielberg (Arizona State University)
DTSTART;TZID=Europe/London:20250718T160500
DTEND;TZID=Europe/London:20250718T164500
UID:TALK233140AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/233140
DESCRIPTION:For an irrational number t in the unit interval\, 
 the Effros-Shen algebra (or "continued fraction AF
  algebra") is the unique AF algebra with ordered K
 _0 group (Z+tZ\, (Z+tZ)_+)\, and with [1]_0 = 1. E
 ffros and Shen described the algebra explicitly by
  constructing a Bratteli diagram from the simple c
 ontinued fraction expansion of t. It is known that
  these algebras form a continuous field over (0\,1
 ) \\ Q. Each rational number has two simple contin
 ued fraction expansions\, and it is not clear whic
 h (if either) is appropriate to use. We will show 
 that their intersection\, in an appropriate sense\
 , does give a continuous bundle over [0\,1]. We wi
 ll also compare this situation with the Boca-Mundi
 ci algebra\, which gives an upper semicontinuous b
 undle\, but with a different choice of fiber at ra
 tional numbers.
LOCATION:External
CONTACT:
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