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SUMMARY:Operator algebras on L^p spaces - N. Christopher Phillips (Univers
 ity of Oregon)
DTSTART:20170327T123000Z
DTEND:20170327T133000Z
UID:TALK71645@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>&nbsp\;It has recently been discovered that there are al
 gebras on L^pspaces  which deserve to be thought of as analogs of selfadjo
 int operator  algebras on Hilbert spaces (even though there is no adjoint 
 on the  algebra of bounded operators on an L^pspace). <br></span>  <span>&
 nbsp\;<br>We have analogs of some of the most common examples of Hilbert s
 pace  operator algebras\, such as the&nbsp\;</span>AF Algebras\, the irrat
 ional rotation  algebras\, group C*-algebras and von Neumann algebras\, mo
 re general  crossed products\, the Cuntz algebras\, and a few others. We h
 ave been  able to prove analogs of some of the standard theorems about the
 se  algebras. We also have some ideas towards when an operator algebra on 
 an&nbsp\;L^p space&nbsp\;<span>deserves to be considered the analog of a C
 *-algebra or a  von Neumann algebra. However\, there is little general the
 ory and there  are many open questions\, particularly for the analogs of v
 on Neumann  algebras. <br></span>  <span>&nbsp\;<br>In this talk\, we will
  try to give an overview of some of what is known  and some of the interes
 ting open questions. &nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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