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Twisted equivariant K-theory with complex coefficients

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

Using a global version of the equivariant Chern character, we describe the complexified twisted equivariant K-theory of a space with a compact Lie group action in terms of fixed-point data. We apply this to the case of a compact Lie group acting on itself by conjugation, and relate the result to the Verlinde algebra and to the Kac numerator at q=1. Verlinde's formula is also discussed in this context.

years

2026 1 2023 1

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UNVERDICTED 2

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Quantum and Reality

quant-ph · 2023-11-18 · unverdicted · novelty 7.0

Hermitian forms on Hilbert spaces arise from the monoid structure of complex conjugation in Z/2-equivariant real linear types within LHoTT, requiring only a negative unit term.

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Showing 2 of 2 citing papers after filters.

  • Quantum and Reality quant-ph · 2023-11-18 · unverdicted · none · ref 16 · internal anchor

    Hermitian forms on Hilbert spaces arise from the monoid structure of complex conjugation in Z/2-equivariant real linear types within LHoTT, requiring only a negative unit term.

  • Flux Quantization of Type IIA in Unstable K-Theory hep-th · 2026-05-24 · unverdicted · none · ref 5 · internal anchor

    Deformation of unstable K-theory quantizes D0/D2/NS5 and NS1/D4 brane fluxes in Type IIA and oxidizes to M-brane quantization.