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Abstract The Toeplitz algebra T C ⁎ ( Λ ) for a finite k-graph Λ is equipped with a continuous one-parameter group α r for each r ∈ R k… Click to show full abstract
Abstract The Toeplitz algebra T C ⁎ ( Λ ) for a finite k-graph Λ is equipped with a continuous one-parameter group α r for each r ∈ R k , obtained by composing the map R ∋ t → ( e i t r 1 , … , e i t r k ) ∈ T k with the gauge action on T C ⁎ ( Λ ) . In this paper we give a complete description of the β-KMS states for the C ⁎ -dynamical system ( T C ⁎ ( Λ ) , α r ) for all finite k-graphs Λ and all values of β ∈ R and r ∈ R k .
Keywords:
kms states;
higher rank;
states toeplitz;
rank graphs;
algebras higher;
toeplitz algebras
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!