A universal coefficient theorem for Gauss's lemma

A Universal Coefficient Theorem for Gauss’s Lemma

We shall prove a version of Gauß’s Lemma that recursively constructs polynomials {ck}k=0,...,m+n in Z[ai, Ai, bj , Bj ]i=0,...,m, j=0,...,n, of degree at most ( m+n n ) , such that whenever ∑ k CkX k = ∑ i AiX i · ∑ j BjX j and 1 = ∑

A Universal Multi-coefficient Theorem for the Kasparov Groups

that holds in the same generality as the universal coefficient theorem of Rosenberg and Schochet. There are advantages, in some circumstances, to using HomΛ(K(A),K(B)) in place of KK(A,B). These advantages derive from the fact that K(A) can be equipped with order and scale structures similar to those on K0(A). With this additional structure, the “Λ−module” K(A) becomes a powerful invariant of C...

The Universal Coefficient Theorem for Fuzzy Homology Modules

In this paper, the exact sequences of fuzzy homology are constructed under certain condition. Using these results, the theorem of universal coefficients for fuzzy homology is proved.

Some Remarks on the Universal Coefficient Theorem in Kk-theory

If a nuclear separable C*-algebra A can be approximated by C*-subalgebras satisfying the UCT, then A satisfies the UCT. It is also shown that the validity of the UCT for all separable nuclear C*-algebras is equivalent to a certain finite dimensional approximation property.

A TRANSLATION THEOREM 1 Lemma