PIMS Distinguished Lecture Series: Joachim Cuntz
- Date: 10/13/2010
- Time: 15:30
Lecturer(s):
Joachim Cuntz
Location:
University of Victoria
Topic:
C* Algebras Associated with Number Fields
Description:
We will first present the algebras A(K) associated with a number field K
which were introduced and analyzed in joint work with X.Li. The
computation of their K-theory is a challenging problem. It turns out to
be determined by the multiplicative group of the field. The requirement
of functoriality of the construction leads to a canonical "Toeplitz
type"-extension of the algebra A(K) which very closely reflects the
structure of the number field K (zeta-function, class number etc.). We
will then discuss this new type of algebra in detail.
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