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Results tagged with c-star-algebras
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user 67036
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].
1
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Connes' correspondences of two $L^\infty$-algebras
The answer to my own question. Many thanks to Jesse Peterson for pointing out the confusing place.
Let $\mathcal A$, $\mathcal B$ be sigma-algebras of subsets of $X$ and $Y$ respectively. Define the …
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7
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1
answer
264
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Connes' correspondences of two $L^\infty$-algebras
In his "Noncommutative Geometry" book Connes asserts (on p. 539) that for two standard probability spaces $(X,\mu_X)$, $(Y,\nu_Y)$ an $N$-$M$-bimodule for $M=L^\infty(X,\mu_X)$ and $N=L^\infty(Y,\mu_Y …
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