منابع مشابه
A Note on Kasparov Product and Duality
Using Paschke-Higson Duality [Hig][Pa], we get a natural index pairingKi(A)×Ki+1(DΦ) → Z where i = 0, 1(mod2) and A is a separable C ∗ -algebra, Φ is a representation of A on a separable Hilbert space H. We prove this is a special case of Kasparov Product [Kas].
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The ‘Turing 100’ conference (Manchester University, 2012) was held precisely 100 years after Alan Turing’s birth on the 23rd June 1912. It was the main event of the Turing Year organised by the Turing Centenary Advisory Committee, TCAC. Certainly the line-up was stellar, including (ACM, 2012) nine Turing Award winners (Fred Brooks, Vint Cerf, Edmund Clarke, Sir Tony Hoare, Don Knuth, Michael Ra...
متن کاملAlgebraic Kasparov K - theory . I
This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov K-theory spectra of k-algebras. These are shown to be homotopy invariant, excisive in each variable K-theories. We prove that the spectra represent universal unstable, Morita stable and stable bivariant homology theories respectively. 2010 Mathematics Subject Classification: 19D99, 19K35, 55P42
متن کاملDualities in equivariant Kasparov theory
We study several duality isomorphisms between equivariant bivariant K-theory groups, generalising Kasparov’s first and second Poincaré duality isomorphisms. We use the first duality to define an equivariant generalisation of Lefschetz invariants of generalised self-maps. The second duality is related to the description of bivariant Kasparov theory for commutative C∗-algebras by families of elli...
متن کاملOn the topology of the Kasparov groups and its applications
In this paper we establish a direct connection between stable approximate unitary equivalence for ∗-homomorphisms and the topology of the KK-groups which avoids entirely C*-algebra extension theory and does not require nuclearity assumptions. To this purpose we show that a topology on the Kasparov groups can be defined in terms of approximate unitary equivalence for Cuntz pairs and that this to...
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ژورنال
عنوان ژورنال: ICGA Journal
سال: 1994
ISSN: 2468-2438,1389-6911
DOI: 10.3233/icg-1994-17221