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Results tagged with c-star-algebras
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user 24447
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].
8
votes
What is the current status of the Kaplansky zero-divisor conjecture for group rings?
Since there's been a request for an update on the zero divisor conjecture, let me give one. The zero divisor conjecture is open. I'll update this answer if I hear otherwise.
Alain already mentioned th …
- 3,736
50
votes
What is the current status of the Kaplansky zero-divisor conjecture for group rings?
Apologies for the self-promotion, but there is now a counterexample to the unit conjecture (U) with $K=\mathbb{F}_2$ and virtually abelian $G = \langle a, b \,|\, (a^2)^b=a^{-2}, (b^2)^a=b^{-2} \rangl …
- 3,736