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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

Description

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.

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/65452
Source: Journal of Functional Analysis
DOI: 10.1016/j.jfa.2010.12.031

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