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Twisted KTheory and KTheory of Bundle Gerbes
 COMMUN. MATH. PHYS
, 2002
"... In this note we introduce the notion of bundle gerbe Ktheory and investigate the relation to twisted Ktheory. We provide some examples. Possible applications of bundle gerbe Ktheory to the classification of Dbrane charges in nontrivial backgrounds are briefly discussed. ..."
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Cited by 139 (32 self)
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In this note we introduce the notion of bundle gerbe Ktheory and investigate the relation to twisted Ktheory. We provide some examples. Possible applications of bundle gerbe Ktheory to the classification of Dbrane charges in nontrivial backgrounds are briefly discussed.
Ktheory for operator algebras
 Mathematical Sciences Research Institute Publications
, 1998
"... p. XII line5: since p. 12: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The RieszFischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
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Cited by 558 (0 self)
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space is not σfinite. p. 13: add after I.2.6.16: I.2.6.17. If X is a compact subset of C not containing 0, and k ∈ N, there is in general no bound on the norm of T −1 as T ranges over all operators with ‖T ‖ ≤ k and σ(T) ⊆ X. For example, let Sn ∈ L(l 2) be the truncated shift: Sn(α1, α2,...) = (0
and KTheory
, 2000
"... We show that the relation between Dbranes and noncommutative tachyons leads very naturally to the relation between Dbranes and Ktheory. We also discuss some relations between Dbranes and Khomology, provide a noncommutative generalization of the ABS construction, and give a simple physical inter ..."
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We show that the relation between Dbranes and noncommutative tachyons leads very naturally to the relation between Dbranes and Ktheory. We also discuss some relations between Dbranes and Khomology, provide a noncommutative generalization of the ABS construction, and give a simple physical
THE KTHEORY OF TORIC VARIETIES
"... Abstract. Recent advances in computational techniques for Ktheory allow us to describe the Ktheory of toric varieties in terms of the Ktheory of fields and simple cohomological data. 1. ..."
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Cited by 10 (4 self)
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Abstract. Recent advances in computational techniques for Ktheory allow us to describe the Ktheory of toric varieties in terms of the Ktheory of fields and simple cohomological data. 1.
DBranes and KTheory
 JHEP
, 1998
"... By exploiting recent arguments about stable nonsupersymmetric Dbrane states, we argue that Dbrane charge takes values in the Ktheory of spacetime, as has been suspected before. In the process, we gain a new understanding of some novel objects proposed recently – such as the Type I zerobrane – and ..."
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Cited by 257 (8 self)
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By exploiting recent arguments about stable nonsupersymmetric Dbrane states, we argue that Dbrane charge takes values in the Ktheory of spacetime, as has been suspected before. In the process, we gain a new understanding of some novel objects proposed recently – such as the Type I zerobrane
Multirelative Ktheory and axioms for the Ktheory of rings
"... Kgroups are defined for a special type of mtuples of ideals in a ring. It is shown that some of the properties of this multirelative Ktheory characterize the Ktheory of rings. ..."
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Cited by 1 (0 self)
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Kgroups are defined for a special type of mtuples of ideals in a ring. It is shown that some of the properties of this multirelative Ktheory characterize the Ktheory of rings.
Algebraic KTheory and the Conjectural Leibniz KTheory
 KTHEORY
, 2003
"... The analogy between algebraic Ktheory and cyclic homology is used to build a program aiming at understanding the algebraic Ktheory of fields and the periodicity phenomena in algebraic Ktheory. In particular, we conjecture the existence of a Leibniz Ktheory which would play the role of Hochschil ..."
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Cited by 9 (1 self)
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The analogy between algebraic Ktheory and cyclic homology is used to build a program aiming at understanding the algebraic Ktheory of fields and the periodicity phenomena in algebraic Ktheory. In particular, we conjecture the existence of a Leibniz Ktheory which would play the role
Lectures on Ktheory
, 2004
"... This series of lectures gives an introduction to Ktheory, including both topological Ktheory and algebraic Ktheory, and also discussing some aspects of Hermitian Ktheory and cyclic homology. They also include a survey of several contemporary developments and applications. ..."
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This series of lectures gives an introduction to Ktheory, including both topological Ktheory and algebraic Ktheory, and also discussing some aspects of Hermitian Ktheory and cyclic homology. They also include a survey of several contemporary developments and applications.
Examples of Ktheory
"... An involution on the Ktheory of (some) bimonoidal categories arXiv:0804.0401 ..."
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An involution on the Ktheory of (some) bimonoidal categories arXiv:0804.0401
Algebraic Ktheory of topological Ktheory
"... Let ℓp be the pcomplete connective Adams summand of topological Ktheory, with coefficient ring (ℓp) ∗ = Zp[v1], and let V (1) be the Smith–Toda complex, with BP∗(V (1)) = BP∗/(p, v1). For p ≥ 5 we explicitly compute the V (1)homotopy of the algebraic Ktheory spectrum of ℓp, denoted V (1)∗K(ℓp ..."
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Cited by 40 (16 self)
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Let ℓp be the pcomplete connective Adams summand of topological Ktheory, with coefficient ring (ℓp) ∗ = Zp[v1], and let V (1) be the Smith–Toda complex, with BP∗(V (1)) = BP∗/(p, v1). For p ≥ 5 we explicitly compute the V (1)homotopy of the algebraic Ktheory spectrum of ℓp, denoted V (1)∗K
Results 1  10
of
17,386