Families of type III KMS states on a class of C * -algebras containing O n  and Q N

Carey, Alan; Phillips, John; Putnam, I F; Rennie, Adam

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Families of type III KMS states on a class of C * -algebras containing O n and Q N

Date

2011

Authors

Carey, Alan

Phillips, John

Putnam, I F

Rennie, Adam

Publisher

Academic Press

Abstract

We construct a family of purely infinite C *-algebras, Qλ for λ ∈ (0, 1) that are classified by their K-groups. There is an action of the circle T with a unique KMS state ψ on each Qλ. For λ = 1/n, Q1/n≅On, with its usual T action and KMS state.