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Algebra Bundle
, 2007
"... Abstract. The concept of algebra and its representation can be extended to an arbitrary bundle. We define operations and relations of algebra bundle in fiber. The paper presents the representation theory of of algebra bundle as well as a comparison of representation of algebra and of representation ..."
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Abstract. The concept of algebra and its representation can be extended to an arbitrary bundle. We define operations and relations of algebra bundle in fiber. The paper presents the representation theory of of algebra bundle as well as a comparison of representation of algebra and of representation
Topology of the C*algebra bundles
, 1999
"... Using the methods of the noncommutative geometry and the K{theory, we prove that the well{known Dixmier{Douady invariant of continuous{trace C {algebras and the Godbillon{ Vey invariant of the codimension{1 foliations on compact manifolds coincide in a class of the so{called "foliation de ..."
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;foliation derived" C {algebra bundles. Moreover, with the help of such bundles both of the above invariants admit an elegant interpretation as Pontrjagin's invariants of the homotopy equivalent mappings of the three{dimensional complex into the two{dimensional sphere. Key words and phrases
On Leibniz algebra bundles
"... Abstract. Derivations and linear connections on a Leibniz algebra vector bundle which are compatible with the Leibniz bracket are studied. ..."
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Abstract. Derivations and linear connections on a Leibniz algebra vector bundle which are compatible with the Leibniz bracket are studied.
Approximation property of C ∗ algebraic bundles
 Math. Proc. Cambridge Philos. Soc
"... In this paper, we will define the reduced crosssectional C ∗algebras of C ∗algebraic bundles over locally compact groups and show that if a C ∗algebraic bundle has the approximation property (defined similarly as in the discrete case), then the full crosssectional C ∗algebra and the reduced on ..."
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In this paper, we will define the reduced crosssectional C ∗algebras of C ∗algebraic bundles over locally compact groups and show that if a C ∗algebraic bundle has the approximation property (defined similarly as in the discrete case), then the full crosssectional C ∗algebra and the reduced
GEOMETRY OF PSEUDODIFFERENTIAL ALGEBRA BUNDLES AND FOURIER INTEGRAL OPERATORS
"... Abstract. We study the geometry and topology of (filtered) algebrabundles Ψ Z over a smooth manifold X with typical fibre Ψ Z (Z; V), the algebra of classical pseudodifferential operators of integral order on the compact manifold Z acting on smooth sections of a vector bundle V. First a theorem of ..."
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Abstract. We study the geometry and topology of (filtered) algebrabundles Ψ Z over a smooth manifold X with typical fibre Ψ Z (Z; V), the algebra of classical pseudodifferential operators of integral order on the compact manifold Z acting on smooth sections of a vector bundle V. First a theorem
Annals of Study on Exterior Algebra Bundle and Differential Forms
, 2014
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TOPOLOGICAL OBSTRUCTIONS TO EMBEDDING A MATRIX ALGEBRA BUNDLE INTO A TRIVIAL ONE
, 807
"... Abstract. In the present paper we describe topological obstructions to embedding a (complex) matrix algebra bundle into a trivial one under some additional arithmetic condition on their dimensions. We explain a relation between this problem and some principal bundles with groupoid structure. Finally ..."
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Abstract. In the present paper we describe topological obstructions to embedding a (complex) matrix algebra bundle into a trivial one under some additional arithmetic condition on their dimensions. We explain a relation between this problem and some principal bundles with groupoid structure
Results 1  10
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59,445