The Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa

Details The Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa The Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa

2005-03-15

arxiv.org/abs/math/0503281v3

Mathematics

Operator Algebras

Reviewed version

Scientific paper

In this paper, we present a new class of strongly singular maximal abelian subalgebras living inside the k-folded tensor product of the free group factor (on N>1 generators). A. Sinclair and R. Smith introduced the class of strongly singular maximal abelian von Neumann algebras (MASA) of type II_1 factors. One of their examples was the Laplacian subalgebra of the free group factor, known to be a singularMASA. Using the techniques presented by A. Sinclair and R.Smith, we show that the Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular MASA.

Affiliated with

Also associated with

No associations

Rating

The Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Laplacian subalgebra of the k-folded tensor product of the free group factor with itself is a strongly singular masa will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316401