Equivariant Maps and Bimodule Projections

Details Equivariant Maps and Bimodule Projections Equivariant Maps and Bimodule Projections

2005-10-28

arxiv.org/abs/math/0510641v1

Mathematics

Operator Algebras

15 pages

Scientific paper

We construct a contractive, idempotent, MASA bimodule map on B(H), whose
range is not a ternary subalgebra of B(H). Our method uses a crossed-product to
reduce the existence of such an idempotent map to an analogous problem about
the ranges of idempotent maps that are equivariant with respect to a group
action and Hamana's theory of G-injective envelopes.

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