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Results tagged with c-star-algebras
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user 161808
A C*-algebra is a complex Banach algebra together with an isometric antilinear involution satisfying (a b)* = b* a* and the C*-identity ‖a* a‖ = ‖a‖². Related tags: [banach-algebras], [von-neumann-algebras], [operator-algebras], [spectral-theory].
3
votes
If either $A$ is exact or $B$ is nuclear then every closed ideal of $A\otimes_{min}B$ is of ...
When A is simple, it's proved in: https://doi.org/10.1002/mana.201700009
As per the suggestion (below) by leo monsaingeon, here are the details reproduced from above paper:
Statement: Let $A$ and $B$ …
- 61
0
votes
Results which are known about ideals of spatial tensor product
You can also find some results of that flavor in Closed ideals and Lie ideals of minimal tensor product of certain C*-algebras .
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