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Relative positions of matroid algebras.

Research output: Contribution to journalJournal article

Published

Journal publication date10/07/1999
JournalJournal of Functional Analysis
Journal number2
Volume165
Number of pages35
Pages205-239
Original languageEnglish

Abstract

A classification is given for regular positions DDD of Jones index 4 where -- EQUATION OMITTED -- is an even matroid algebra and where the individual summands have index 2. A similar classification is obtained for positions of direct sums of 2-symmetric algebras and, in the odd case, for the positions of sums of 2-symmetric C*-algebras in matroid C*-algebras. The approach relies on an analysis of intermediate non-self-adjoint operator algebras and the classifications are given in terms of K0 invariants, partial isometry homology, and scales in the composite invariant K0(−)H1(−).