Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

In: Communications in Mathematical Physics, Vol. 393, No. 2, 07.2022, p. 1105-1123.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Elliott, GA, Sato, Y & Thomsen, K 2022, 'On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra', *Communications in Mathematical Physics*, vol. 393, no. 2, pp. 1105-1123. https://doi.org/10.1007/s00220-022-04386-x

Elliott, G. A., Sato, Y., & Thomsen, K. (2022). On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra. *Communications in Mathematical Physics*, *393*(2), 1105-1123. https://doi.org/10.1007/s00220-022-04386-x

Elliott GA, Sato Y, Thomsen K. 2022. On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra. Communications in Mathematical Physics. 393(2):1105-1123. https://doi.org/10.1007/s00220-022-04386-x

Elliott, George A., Yasuhiko Sato, and Klaus Thomsen. "On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra". *Communications in Mathematical Physics*. 2022, 393(2). 1105-1123. https://doi.org/10.1007/s00220-022-04386-x

Elliott GA, Sato Y, Thomsen K. On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra. Communications in Mathematical Physics. 2022 Jul;393(2):1105-1123. doi: 10.1007/s00220-022-04386-x

Elliott, George A. ; Sato, Yasuhiko ; Thomsen, Klaus. / **On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra**. In: Communications in Mathematical Physics. 2022 ; Vol. 393, No. 2. pp. 1105-1123.

@article{f08e830be0b04d9b884e9f555f01ab9b,

title = "On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra",

abstract = "A complete characterization is given of the collection of KMS state spaces for a flow on the Jiang-Su C*-algebra in the case that the set of inverse temperatures is bounded. Namely, it is an arbitrary compact simplex bundle over the (compact) set of inverse temperatures with fibre at zero a single point. (Hence this holds for the tensor product of this C*-algebra with any unital C*-algebra with unique trace state.) An analogous characterization is given for arbitrary flows on a (Kirchberg–Phillips) classifiable infinite unital simple C*-algebra: for each such algebra the KMS states form an arbitrary proper simplex bundle (the inverse image of a compact set of inverse temperatures is compact) such that the fibre at zero is empty.",

author = "Elliott, {George A.} and Yasuhiko Sato and Klaus Thomsen",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

month = jul,

doi = "10.1007/s00220-022-04386-x",

language = "English",

volume = "393",

pages = "1105--1123",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - On the Bundle of KMS State Spaces for Flows on a Z -Absorbing C*-Algebra

AU - Elliott, George A.

AU - Sato, Yasuhiko

AU - Thomsen, Klaus

N1 - Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2022/7

Y1 - 2022/7

N2 - A complete characterization is given of the collection of KMS state spaces for a flow on the Jiang-Su C*-algebra in the case that the set of inverse temperatures is bounded. Namely, it is an arbitrary compact simplex bundle over the (compact) set of inverse temperatures with fibre at zero a single point. (Hence this holds for the tensor product of this C*-algebra with any unital C*-algebra with unique trace state.) An analogous characterization is given for arbitrary flows on a (Kirchberg–Phillips) classifiable infinite unital simple C*-algebra: for each such algebra the KMS states form an arbitrary proper simplex bundle (the inverse image of a compact set of inverse temperatures is compact) such that the fibre at zero is empty.

AB - A complete characterization is given of the collection of KMS state spaces for a flow on the Jiang-Su C*-algebra in the case that the set of inverse temperatures is bounded. Namely, it is an arbitrary compact simplex bundle over the (compact) set of inverse temperatures with fibre at zero a single point. (Hence this holds for the tensor product of this C*-algebra with any unital C*-algebra with unique trace state.) An analogous characterization is given for arbitrary flows on a (Kirchberg–Phillips) classifiable infinite unital simple C*-algebra: for each such algebra the KMS states form an arbitrary proper simplex bundle (the inverse image of a compact set of inverse temperatures is compact) such that the fibre at zero is empty.

UR - http://www.scopus.com/inward/record.url?scp=85131097848&partnerID=8YFLogxK

U2 - 10.1007/s00220-022-04386-x

DO - 10.1007/s00220-022-04386-x

M3 - Journal article

AN - SCOPUS:85131097848

VL - 393

SP - 1105

EP - 1123

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -