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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].
2
votes
Comultiplication of elements of partition of unity
This answer was given before the edit
(with the understanding that under the stated assumptions the comultiplication described in the OP is cocommutative for the $d$ idempotents $p_i$ and $k$ is an a …
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 …
1
vote
Accepted
Noncommutative Leray - Hirsch theorem in the context of noncommutative principal bundles
First of all, let me make clear that by no means would i like to pretend any expertise on the topic (in fact i feel i have a limited understanding of AG in general). However, the question reminded me …