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Splitting Line Patterns in Free Groups
free group group splitting line pattern Whitehead graph
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2010/12/6
There is a canonical JSJ-decomposition of a free group relative to a line pattern. This provides a characterization of virtually geometric multiwords. They are the multiwords that are built from geome...
Simple Modules of Classical Linear Groups with Normal Closures of Maximal Torus Orbits
Toric variety normality simple module classical root system
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2010/12/10
Let T be a maximal torus in a classical linear group G. In this paper we find all simple rational G-modules V such that for each vector v ∈ V the closure of its T -orbit is
a normal affine variety. F...
A note on trace scaling actions and fundamental groups of $C^*$-algebras
Fundamental group Trace scaling action Dimension group
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2010/12/1
Using Effros-Handelman-Shen theorem and Elliott’s classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A K admits no trace scaling ...