Equivariant maps and bimodule projections
Copyright policy )Equivariant maps and bimodule projections
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.
15 pages
- Department of Mathematics University of Houston United States
- University of Houston United States
- University of Houston Sugar Land United States
Multipliers, injective, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Mathematics - Operator Algebras, Banach-Stone theorem, 46L05, 46A22, Injective, operator space, Operator space, Banach–Stone, multipliers, FOS: Mathematics, Operator spaces and completely bounded maps, Operator Algebras (math.OA), Analysis
Multipliers, injective, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX), Mathematics - Operator Algebras, Banach-Stone theorem, 46L05, 46A22, Injective, operator space, Operator space, Banach–Stone, multipliers, FOS: Mathematics, Operator spaces and completely bounded maps, Operator Algebras (math.OA), Analysis
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