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Generically infinite entropy in a simple AF algebra
Author(s) -
Kerr David
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdl037
Subject(s) - mathematics , unital , automorphism , pure mathematics , simple (philosophy) , entropy (arrow of time) , norm (philosophy) , algebra over a field , quantum mechanics , philosophy , physics , epistemology , political science , law
Abstract We construct a simple unital AF algebra for which the *‐automorphisms that are not approximately inner all have infinite entropy and form a point‐norm dense open set, where entropy is taken in any of the Voiculescu–Brown, lower Voiculescu–Brown, or contractive approximation senses.