A Theory of Dimension - INSPIRE

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A Theory of Dimension

Apr 17, 1996

56 pages

Published in:

K Theory 11 (1997) 103-159

e-Print:

funct-an/9604008 [math.FA]

DOI:

10.1023/A:1007714415067

Report number:

UNIV.-ROME-"TOR-VERGATA"-DEPT.-MATH.-4-95

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Abstract: (arXiv)

In which a theory of dimension related to the Jones index and based on the notion of conjugation is developed. An elementary proof of the additivity and multiplicativity of the dimension is given and there is an associated trace. Applications are given to a class of endomorphisms of factors and to the theory of subfactors. An important role is played by a notion of amenability inspired by the work of Popa.

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References(30)

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