L2,Z⊗ L2,Z does not embed in L2,Z

RIS ID

105806

Publication Details

Brownlowe, N. & Sorensen, A. P W. (2016). L2,Z⊗ L2,Z does not embed in L2,Z. Journal of Algebra, 456 1-22.

Abstract

For a commutative ring R with unit we investigate the embedding of tensor product algebras into the Leavitt algebra L2,R. We show that the tensor product L2,Z⊗L2,Z does not embed in L2,Z (as a unital *-algebra). We also prove a partial non-embedding result for the more general L2,R⊗L2,R. Our techniques rely on realising Thompson's group V as a subgroup of the unitary group of L2,R.

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Link to publisher version (DOI)

http://dx.doi.org/10.1016/j.jalgebra.2016.01.040