On the non-occurrence of the coxeter graphs β2n+1, D2n+1 and E7 as the principal graph of an inclusion of II1 factors

Sunder, V. S. ; Vijayarajan, A. K. (1993) On the non-occurrence of the coxeter graphs β2n+1, D2n+1 and E7 as the principal graph of an inclusion of II1 factors Pacific Journal of Mathematics, 161 (1). pp. 185-200. ISSN 0030-8730

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Abstract

After discussing some preliminaries on the notion of an action of a hypergroup on a set, we present elementary proofs of the fact that the coxeter graphs β2n+1 D2n+1 and E7 do not arise as Jones' principal graph invariant of an inclusion of II1 factors. (Here, we use the symbol an to denote the graph that is normally denoted by Bn, the reason for this changed terminology being spelt out in the text.)

Item Type:Article
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ID Code:76187
Deposited On:31 Dec 2011 14:46
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