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The Bost-Connes phase transition and unitary representations

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Publication:1946289
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DOI10.4171/JNCG/117zbMath1275.46052MaRDI QIDQ1946289

Tyrone Crisp

Publication date: 19 April 2013

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)


zbMATH Keywords

unitary representationphase transitionBost-Connes system


Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Unitary representations of locally compact groups (22D10)


Related Items (1)

Ergodic theorems for coset spaces



Cites Work

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  • The regular representation of restricted direct product groups
  • Semigroups of *-endomorphisms, Dirichlet series, and phase transitions
  • Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
  • Induced representation of locally compact groups. I
  • From Endomorphisms to Automorphisms and Back: Dilations and Full Corners
  • Spectral Analysis of the Action of Ideles on Adeles


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