Zobrazeno 1 - 10 of 64 pro vyhledávání: '"Claude Schochet"'
1
Spanier–Whitehead K-duality for C∗-algebras
Autor: Jerome Kaminker, Claude Schochet
Publikováno v: Journal of Topology and Analysis. 11:21-52
Classical Spanier–Whitehead duality was introduced for the stable homotopy category of finite CW complexes. Here we provide a comprehensive treatment of a noncommutative version, termed Spanier–Whitehead [Formula: see text]-duality, which is defi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aa5eda58e95622cc6d67ea49b27b7f35
https://doi.org/10.1142/s1793525319500055
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3
Banach algebras, Samelson products, and the Wang differential
Autor: Claude Schochet
Publikováno v: Journal of Topology and Analysis. :281-303
Assume that given a principal G bundle ζ : P → Sk (with k ≥ 2) and a Banach algebra B upon which G acts continuously. Let [Formula: see text] denote the associated bundle and let [Formula: see text] denote the associated Banach algebra of sectio
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ece4883a739f64f82dd20dee78ded2d6
https://doi.org/10.1142/s1793525314500113
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4
Spaces of sections of Banach algebra bundles
Autor: Claude Schochet, Emmanuel Dror Farjoun
Publikováno v: Journal of K-Theory. 10:279-298
Suppose thatBis a G-Banach algebra over= ℝ or ℂXis a finite dimensional compact metric space, ζ :P → Xis a standard principalG-bundle, andAζ= Γ(X,P×GB) is the associated algebra of sections. We produce a spectral sequence which converges to
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e042f238b5c78413b817d2cb821809c3
https://doi.org/10.1017/is012002001jkt183
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5
CONTINUOUS TRACE C*-ALGEBRAS, GAUGE GROUPS AND RATIONALIZATION
Autor: John R. Klein, Claude Schochet, Samuel B. Smith
Publikováno v: Journal of Topology and Analysis. :261-288
Let \zeta be an n-dimensional complex matrix bundle over a compact metric space X and let A_\zeta denote the C*-algebra of sections of this bundle. We determine the rational homotopy type as an H-space of UA_\zeta, the group of unitaries of A_\zeta.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::840df3b0fe4000254a1bfb8d030e68f0
https://doi.org/10.1142/s179352530900014x
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6
Banach algebras and rational homotopy theory
Autor: Claude Schochet, N. Christopher Phillips, Gregory Lupton, Samuel B. Smith
Publikováno v: Transactions of the American Mathematical Society. 361:267-295
Let A be a unital commutative Banach algebra with maximal ideal space Max(A). We determine the rational H-type of GLn(A), the group of invertible n × n matrices with coefficients in A, in terms of the rational cohomology of Max(A). We also address a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d49441a6828feea4a5a6014726d608a9
https://doi.org/10.1090/s0002-9947-08-04477-2
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9
The Fine Structure of the Kasparov Groups II: Topologizing the UCT
Autor: Claude Schochet
Publikováno v: Journal of Functional Analysis. 194(2):263-287
The Kasparov groups KK_*(A, B) have a natural structure as pseudopolonais groups. In this paper we analyze how this topology interacts with the terms of the Universal Coefficient Theorem (UCT) and the splittings of the UCT constructed by J. Rosenberg
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10
The Fine Structure of the Kasparov Groups I: Continuity of the KK-Pairing
Autor: Claude Schochet
Publikováno v: Journal of Functional Analysis. 186:25-61
In this paper it is demonstrated that the Kasparov pairing is continuous with respect to the natural topology on the Kasparov groups, so that a KK-equivalence is an isomorphism of topological groups. In addition, we demonstrate that the groups have a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e1b734a7dbf1ff162f59c4af767c31e
https://doi.org/10.1006/jfan.2001.3784
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