Speaker: **Hiroshi Ando** (Univ. Copenhagen)

Title: On the noncommutativity of the central sequence
C^{*} algebra F(A)

Time/Date: 4:30-6:00, Wed. November 5, 2014

Room: 122

Abstract:
Both C^{*} and W^{*}-central sequence algebras are important
in operator algebra theory. However, their behaviors are quite different.
For example, while the W^{*} (tracial) central sequence algebra of
the free group von Neumann algebra is trivial, C^{*}-central
sequence algebra of the reduced free group C^{*} algebra
C^{*}_{r}(F_{2}) is not.
In 2004, Kirchberg asked a question whether the C^{*}-central sequence algebra of
C^{*}_{r}(F_{2}) is non-commutative.

In a joint work with Kirchberg, we show that the answer is affirmative, i.e., the central sequence algebra is highly non-commutative.