作者: Michael Hartglass , David Penneys
DOI: 10.1016/J.JFA.2014.08.024
关键词: Planar algebra 、 Series (mathematics) 、 Algebra over a field 、 Mathematics 、 Rank (linear algebra) 、 Pure mathematics 、 Free probability 、 Trace (linear algebra)
摘要: Abstract We study the C ⁎ -algebras arising in construction of Guionnet–Jones–Shlyakhtenko (GJS) for a planar algebra. In particular, we show they are pairwise strongly Morita equivalent, compute their K -groups, and prove many properties, such as simplicity, unique trace, stable rank 1. Interestingly, see -theoretic obstruction to GJS -algebra analog Goldman-type theorems II 1 -subfactors. This is second article series studying canonical associated published version arXiv:1401.2486 .