KMS states on \(\mathfrak S_\infty\) invariant with respect to the Young subgroups.

DOI10.1007/S10688-013-0017-9zbMath1276.20008OpenAlexW1986599563MaRDI QIDQ366108

N. I. Nessonov

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-013-0017-9

zbMATH Keywords

Young subgroupspositive definite functionsKMS statesinfinite symmetric groupfactor representationsgroups of finite permutationsindecomposable statesquasiequivalent representations

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) States of selfadjoint operator algebras (46L30) Positive definite functions on groups, semigroups, etc. (43A35) Representations of infinite symmetric groups (20C32)

Related Items (1)

Infinite symmetric groups and combinatorial constructions of topological field theory type

Cites Work

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• Theory of operator algebras. III
• On representations of the infinite symmetric group
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• MODULAR OPERATORS AND ASYMPTOTIC COMMUTATIVITY IN VON NEUMANN ALGEBRAS
• On a class of KMS states for the unitary group \(U(\infty)\)

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