Normalisers of operator algebras and tensor product formulas
Martin McGarveyQueen's University Belfast, Belfast, Northern Ireland, UK
Lina OliveiraInstituto Superior Técnico, Lisboa, Portugal
Ivan G. TodorovQueen's University Belfast, Belfast, Northern Ireland, UK
We establish a tensor product formula for bimodules over maximal abelian self-adjoint algebras and their supports. We use this formula to show that if is the tensor product of finitely many continuous nest algebras, is a CSL algebra and and have the same normaliser semigroup then either or . We show that the result does not hold without the assumption that the nests be continuous, answering in the negative a question previously raised in the literature.
Cite this article
Martin McGarvey, Lina Oliveira, Ivan G. Todorov, Normalisers of operator algebras and tensor product formulas. Rev. Mat. Iberoam. 29 (2013), no. 4, pp. 1373–1395DOI 10.4171/RMI/760