Toeplitz Operators Associated with Number Fields and KMS-States, I & II,   Joachim Cuntz,   University of Münster, Germany,  Wed, 16 February, 2011,   10:00 a.m. A-227


We associate a C*-algebra of Toeplitz type with any number field. A first important property of the construction is its functoriality. For a natural one-parameter automorphism group it has a very interesting family of KMS states. Of particular interest is the case of number fields with nontrivial class group, where the partition functions are related to partial zeta functions and L-functions.