Buch, Englisch, 484 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 700 g
Buch, Englisch, 484 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 700 g
Reihe: London Mathematical Society Lecture Note Series
ISBN: 978-1-009-77520-5
Verlag: Cambridge University Press
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.
Autoren/Hrsg.
Weitere Infos & Material
Part I. From Operadic Pseudoalgebras to G-G-Categories: 1. Pseudo-commutative operads and operadic pseudoalgebras; 2. GCat-multicategories of operadic pseudoalgebras; 3. Symmetric monoidal closed category of g-g-categories; 4. GCat-multifunctors from operadic pseudoalgebras to g-g-categories; Part II. GCat-Multifunctors from Operadic Pseudoalgebras to G-G-Categories: 5. Equivariant orthogonal spectra; 6. From G-G-categories to G-G-spaces; 7. Symmetric Gtop-monoidal equivariant K-theory; Appendices: Appendix A. Symmetric monoidal categories; Appendix B. Multicategories; Appendix C. Classifying space; Bibliography; Index.
