ENDOMORPHISMS AND AUTOMORPHISMS FROM SUBFACTORS ILLUSTRATING NON-COMMUTATIVE ENTROPY

We present a series of examples of endomorphisms and automorphisms arising from subfactors, which illustrate some of the recent theorems in non-commutative entropy theory. Moreover it is shown that for these examples the Connes-Størmer entropy of the automorphism is maximal and coincides with the to...

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Bibliographic Details
Published in:Mathematica scandinavica 2005-01, Vol.97 (2), p.266-280
Main Author: SVENDSEN, ANNE LOUISE
Format: Article
Language:English
Subjects:
Algebra
Automorphisms
Entropy
Increasing sequences
Mathematical theorems
Subalgebras
Topological theorems
Topology
Von Neumann algebra
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Summary:We present a series of examples of endomorphisms and automorphisms arising from subfactors, which illustrate some of the recent theorems in non-commutative entropy theory. Moreover it is shown that for these examples the Connes-Størmer entropy of the automorphism is maximal and coincides with the topological entropy. This follows from the theorems our examples illustrate, and is also showed directly.
ISSN:0025-5521
1903-1807
DOI:10.7146/math.scand.a-14975