TY - JOUR
T1 - KMS states on the Toeplitz algebras of higher-rank graphs
AU - Christensen, Johannes
PY - 2020/5
Y1 - 2020/5
N2 - The Toeplitz algebra TC⁎(Λ) for a finite k-graph Λ is equipped with a continuous one-parameter group αr for each r∈Rk, obtained by composing the map R∋t→(eitr1 ,…,eitrk )∈Tk with the gauge action on TC⁎(Λ). In this paper we give a complete description of the β-KMS states for the C⁎-dynamical system (TC⁎(Λ),αr) for all finite k-graphs Λ and all values of β∈R and r∈Rk.
AB - The Toeplitz algebra TC⁎(Λ) for a finite k-graph Λ is equipped with a continuous one-parameter group αr for each r∈Rk, obtained by composing the map R∋t→(eitr1 ,…,eitrk )∈Tk with the gauge action on TC⁎(Λ). In this paper we give a complete description of the β-KMS states for the C⁎-dynamical system (TC⁎(Λ),αr) for all finite k-graphs Λ and all values of β∈R and r∈Rk.
KW - Higher-rank graphs
KW - KMS states
KW - Toeplitz algebras
UR - http://www.scopus.com/inward/record.url?scp=85077744041&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2020.123841
DO - 10.1016/j.jmaa.2020.123841
M3 - Journal article
AN - SCOPUS:85077744041
SN - 0022-247X
VL - 485
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
M1 - 123841
ER -