Título:
Two examples of vanishing and squeezing in K₁
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Autor:
Ellis, Eugenia
Rodríguez Cirone, Emanuel
Tartaglia, Gisela
Vega, Santiago
Rodríguez Cirone, Emanuel
Tartaglia, Gisela
Vega, Santiago
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Tipo de documento:
Artículo
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Palabras clave:
Assembly maps
Controlled topology
Bass-Heller-Swan theorem
Controlled topology
Bass-Heller-Swan theorem
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Año de publicación:
2020
Contenido:
Resumen:
Controlled topology is one of the main tools for proving the isomorphism conjecture concerning the algebraic K-theory of group rings. In this article we dive into this machinery in two examples: when the group is infinite cyclic and when it is the infinite dihedral group in both cases with the family of finite subgroups. We prove a vanishing theorem and show how to explicitly squeeze the generators of these groups in K₁. For the infinite cyclic group, when taking coefficients in a regular ring, we get a squeezing result for every element of K₁; this follows from the well-known result of Bass, Heller and Swan.
Descripción:
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NYJM
EN:
New York Journal of Mathematics, vol. 26, 2020, pp. 607-635.
Financiadores:
ANII - FCE_3_2018_1_148588
Citación:
Ellis, E., Rodríguez Cirone, E., Tartaglia, G. y otros. "Two examples of vanishing and squeezing in K₁". New York Journal of Mathematics. [en línea]. 2020, vol. 26, pp. 607-635.
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Licencia:
Licencia Creative Commons Atribución (CC - By 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| ERTV20.pdf | Versión publicada | 452.53 KB | Adobe PDF |