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

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