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Results tagged with c-star-algebras
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user 86526
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
2
answers
151
views
$V(A)$ semi group of equivalent projections in $M_∞(A)$ cancelative?
I found in the book of Murphy, C*- Algebras and Operator Theory, the Theorem 7.1.2 :
Let A be an unital C* algebra, the semi group $V(A)$ of equivalent projections (under Murray Von
Neumann equi …
- 659
8
votes
1
answer
583
views
Counterexample to Riesz representation for Hilbert modules
For a Hilbert space $H$, the Riesz representation theorem states that $H$ is isomorphic to its dual $H^*$ via $x \mapsto \langle x, -\rangle$.
It is often stated in the literature that this does not …
- 659