Journal of Operator Theory
Volume 76, Issue 2, Fall 2016 pp. 449-471.
Diagonality of actions and KMS weights
Authors:
Johannes Christensen (1) and Klaus Thomsen (2)
Author institution:(1) Department of Mathematics, Aarhus University, Ny
Munkegade 118, 8000 Aarhus C, Denmark
(2) Department of Mathematics, Aarhus University, Ny Munkegade 118,
8000 Aarhus C, Denmark
Summary: We show that in many cases a
one-parameter group of automorphisms on a $C^*$-algebra of an
\'etale groupoid is given by a real-valued homomorphism on the
groupoid if and only if the KMS weights of the one-parameter group
is given by measures on the unit space. The results are applied to
graph $C^*$-algebras.
DOI: http://dx.doi.org/10.7900/jot.2015dec15.2098
Keywords: KMS weights, one-parameter groups, diagonality,
graph $C^*$-algebras
Contents
Full-Text PDF