Operator Algebras Seminar, Spring 2002

Organizer: Dietmar Bisch

Tuesdays and Thursdays 1:30 pm - 3:00 pm, South Hall, Room 4607B

• Date: 4/9/02 (Tuesday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part I

• Date: 4/11/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part II

• Date: 4/16/02 (Tuesday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part III

• Date: 4/23/02 (Tuesday)
  • Speaker: Axel Schueler, USC
  • Title: Laplace operator and Hodge decomposition for quantum groups
  • Abstract: We consider the standard bicovariant differential calculi on the q-deformed function algebras to the classical four series A-D of Lie groups. We show that the de Rham cohomology of the exterior algebras coincides with the de Rham cohomology of its left-invariant, right-invariant and of its biinvariant subcomplexes. In the cases GL_q(N) and SL_q(N) the cohomology is isomorphic to the biinvariant exterior algebra and to the space of harmonic forms. We prove a Hodge decomposition theorem in these cases (see http://xxx.uni-augsburg.de/abs/math.QA/0008195)

• Date: 4/30/02 (Tuesday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part IV

• Date: 5/2/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On the construction of automorphisms of subfactors

• Date: 5/7/02 (Tuesday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part V

• Date: 5/9/02 (Thursday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part VI

• Date: 5/21/02 (Tuesday)
  • Speaker: Imre Tuba, UCSB
  • Title: Characterization of tensor categories of classical Lie type

• Date: 5/28/02 (Tuesday) Cancelled !
  • Speaker: Sorin Popa, UCLA
  • Title: Some rigidity results for II₁ factors

• Date: 6/3/02 (Monday) Special talk! 12-2 pm, iQUEST seminar room
  • Speaker: Manny Knill, Los Alamos National Lab
  • Title: Overview of linear optics quantum computation

• Date: 6/4/02 (Tuesday) PH.D. THESIS DEFENSE, 11-12 pm, SH 6635
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Commuting squares and automorphisms of subfactors

• Date: 6/4/02 (Tuesday)
  • Speaker: Manny Knill, Los Alamos National Lab
  • Title: Separability as a special case of coherence
  • Abstract: Separable states are exactly the coherent states with respect to the Lie group of local transformations. What aspects of the study of separability and entanglement are applicable to general coherent states? Basic properties, such as those involving entanglement measures and behavior under LOCC operations do indeed generalize. This leads to a program of studying the quintessential features of entanglement without reference to locality or subsystems. It turns out that coherent and separable states can be analyzed in an even more general setting involving pairs of convex cones. This seminar will be an informal discussion of these ideas and how the program is progressing.

• Past Operator Algebras Seminars