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Results tagged with oa.operator-algebras
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user 85967
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
1
vote
Can a sum of commutators of selfadjoint bounded operators be a multiple of the identity?
I think that in general, it depends on the algebra of the operators.
If for example your operators span some Lie algebra, then no it cannot happen. Since then, the commutators will be primitive elemen …
- 7,746
2
votes
Hopf C-star algebra/comodules using a Fubini tensor product rather than the minimal tensor p...
Although i do not know much more to say, i recall i have seen this variant of the definition of the comodule you are describing, used in the context of Hopf-von Neumann algebras. See for example:
C …
- 7,746
4
votes
Accepted
A generalization of invariant and coinvariant subspaces
Since you are refering to subalgebras of $M_n(\mathbb{C})$, i am not sure if this is what you are looking for, but if $S$ is a semigroup of operators on a Hilbert space $\mathcal{H}$, $\mathcal{V}\sub …
- 7,746
16
votes
Accepted
Are there other semidirect product/crossed products in other areas
Such triples, involving two objects -or even categories- and some kind of an "action" of one of them on the other (respecting some or all of its structure maps), are quite general and are met -as has …
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