Multifunctorial Equivariant Algebraic K-Theory
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- Publisher:
- Cambridge University Press
- Publication date:
- 27 May 2026
- 11 June 2026
- ISBN:
- 9781009775175
- 9781009775205
- Dimensions:
- Weight & Pages:
- Dimensions:
- (229 x 152 mm)
- Weight & Pages:
- 0.7kg, 484 Pages
You may already have access via personal or institutional login- Subjects:
- Mathematics (general), Mathematics, Geometry and Topology, Algebra
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Book description
A central question in equivariant algebraic K-theory asks whether there exists an equivariant K-theory machine from genuine symmetric monoidal G-categories to orthogonal G-spectra that preserves equivariant algebraic structures. This book answers this question positively by constructing an enriched multifunctor from the G-categorically enriched multicategory of O-pseudoalgebras to the symmetric monoidal category of orthogonal G-spectra, for a compact Lie group G and a 1-connected pseudo-commutative G-categorical operad O. As the main application of its enriched multifunctoriality, this machine preserves all equivariant algebraic structures parametrized by multicategories enriched in either G-spaces or G-categories. In addition to highly detailed proofs of all the main results, this work also reviews relevant concepts, including orthogonal G-spectra. Appendices provide the necessary background on symmetric monoidal categories, multicategories, and classifying space. Clearly written and well organized, this book will be a useful reference for researchers and graduate students for years to come.
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