Abstract
There exist foliated T 2-bundles on close surfaces whose foliation W*-algebras are isomorphic to the hyperfinite factor of type IIIλ. We introduce a secondary invariant called a K-set for such foliations. The K-set can detect the value λ determined from Connes’ S-set and its behavior for such foliations are quite similar to that of the S-set. This suggests that the K-set can be considered as a geometric counterpart of the S-set.
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References
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Dedicated to Professor Hideki Omori
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© 2007 Birkhäuser Boston
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Moriyoshi, H. (2007). A Secondary Invariant of Foliated Spaces and Type IIIλ von Neumann Algebras. In: Maeda, Y., Ochiai, T., Michor, P., Yoshioka, A. (eds) From Geometry to Quantum Mechanics. Progress in Mathematics, vol 252. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4530-4_14
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DOI: https://doi.org/10.1007/978-0-8176-4530-4_14
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4512-0
Online ISBN: 978-0-8176-4530-4
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