-index theorems, KK-theory, and connections.

Schick, Thomas

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The authors generalize a construction of Connes by defining for an $A$ -bundle $E$ over smooth manifold $X$ and a reduced cyclic cohomology class $c$ a sequence of de Rham cohomology classes $c h_{c}^{k} (E)$ . Here $A$ is a convenient algebra, defined by the authors, and $E$ is a locally trivial bundle with standard fibre a right finitely generated projective $A$ -module and bounded $A$ -modules homomorphisms as transition functions.

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Moslehian, Mohammad Sal (2001)

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Carlson, Jon F., Clark, Douglas N., Foias, Ciprian, Williams, J.P. (1994)

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Normal Hilbert modules over the ball algebra A(B)

Kunyu Guo (1999)

Studia Mathematica

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The normal cohomology functor $E x t_{ℵ}$ is introduced from the category of all normal Hilbert modules over the ball algebra to the category of A(B)-modules. From the calculation of $E x t_{ℵ}$ -groups, we show that every normal C(∂B)-extension of a normal Hilbert module (viewed as a Hilbert module over A(B) is normal projective and normal injective. It follows that there is a natural isomorphism between Hom of normal Shilov modules and that of their quotient modules, which is a new lifting theorem of normal...

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Manuilov, V.M. (1996)

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Marc Rieffel (1972)

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We investigate the structure of the multiplier module of a Hilbert module over a pro-C*-algebra and the relationship between the set of all adjointable operators from a Hilbert A-module E to a Hilbert A-module F and the set of all adjointable operators from the multiplier module M(E) to M(F).

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Displaying similar documents to “ L 2 -index theorems, KK-theory, and connections.”

Displaying similar documents to “ $L^{2}$ -index theorems, KK-theory, and connections.”