Embeddings of U(1)-current algebras in non-commutative algebras of classical statistical mechanics

Connes, Alain and Evans, David Emrys 1989. Embeddings of U(1)-current algebras in non-commutative algebras of classical statistical mechanics. Communications in Mathematical Physics 121 (3) , pp. 507-525. 10.1007/BF01217736

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Abstract

Motivated by multiplicativeK-homology, and understanding critical phenomena in some classical statistical mechanical models, we construct actions ofGL(∞) on the operator algebras of V. Jones and Ocneanu, and analyse these in terms of embeddings ofU(1)-current algebras.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	Open Access version available from Project Euclid: http://projecteuclid.org/euclid.cmp/1104178144
Publisher:	Springer
ISSN:	0010-3616
Related URLs:	http://projecteuclid.org/euclid.cmp/1104...
Date of First Compliant Deposit:	18 January 2017
Last Modified:	04 Feb 2025 12:13
URI:	https://orca.cardiff.ac.uk/id/eprint/33309

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