Two examples of vanishing and squeezing in K₁
- Autor(es):
- Ellis, Eugenia ; Rodríguez Cirone, Emanuel ; Tartaglia, Gisela ; Vega, Santiago
- Tipo:
- Artículo
- Versión:
- Publicado
- Financiadores:
- ANII - FCE_3_2018_1_148588
- 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.
- Año:
- 2020
- Idioma:
- Inglés
- Temas:
- Assembly maps
Controlled topology
Bass-Heller-Swan theorem
- Institución:
- Universidad de la República
- Repositorio:
- COLIBRI
- Enlace(s):
- http://nyjm.albany.edu/j/2020/26-28.html
https://nyjm.albany.edu/
https://hdl.handle.net/20.500.12008/33743
- Nivel de acceso:
- Acceso abierto