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Relative positions of matroid algebras.

Research output: Contribution to journalJournal articlepeer-review

<mark>Journal publication date</mark>10/07/1999
<mark>Journal</mark>Journal of Functional Analysis
Issue number2
Number of pages35
Pages (from-to)205-239
Publication StatusPublished
<mark>Original language</mark>English


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(−).