An L^2-Kunneth formula for tracial algebras
Operator Algebras
2009-03-06 v1
Abstract
We prove a Kunneth formula computing the Connes-Shlyakhtenko L^2-Betti numbers of the algebraic tensor product of two tracial *-algebras in terms of the L^2-Betti numbers of the two original algebras. As an application, we construct examples of non-finite, non-cocommutative, compact quantum groups with a non-vanishing first L^2-Betti number.
Keywords
Cite
@article{arxiv.0903.0931,
title = {An L^2-Kunneth formula for tracial algebras},
author = {David Kyed},
journal= {arXiv preprint arXiv:0903.0931},
year = {2009}
}
Comments
10 pages