Equivariant maps and bimodule projections
نویسندگان
چکیده
منابع مشابه
Equivariant Maps and Bimodule Projections
We construct a counterexample to Solel’s[25] conjecture that the range of any contractive, idempotent, MASA bimodule map on B(H) is necessarily a ternary subalgebra. Our construction reduces this problem to an analogous problem about the ranges of idempotent maps that are equivariant with respect to a group action. Such maps are important to understand Hamana’s theory of G-injective operator sp...
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We consider a finite group acting on a vector space and the corresponding skew group algebra generated by the group and the symmetric algebra of the space. This skew group algebra illuminates the resulting orbifold and serves as a replacement for the ring of invariant polynomials, especially in the eyes of cohomology. One analyzes the Hochschild cohomology of the skew group algebra using isomor...
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— We show that if Γ is a discrete subgroup of the group of the isometries of Hk, and if ρ is a representation of Γ into the group of the isometries of Hn, then any ρ-equivariant map F : Hk → Hn extends to the boundary in a weak sense in the setting of Borel measures. As a consequence of this fact, we obtain an extension of a result of Besson, Courtois and Gallot about the existence of volume no...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2006
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2006.04.028