Infinite sums of Adams operations and cobordism.
The elements of various algebras of stable degree zero operations in p-local K-theory can be described explicitly as certain infinite sums of Adams operations [11, 9]. Here we show how to make sense of the same expressions for MU(p) and BP, thus identifying the “Adams subalgebra” of the algebras of...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/12131 |
| Acceso en línea: | https://hdl.handle.net/2117/12131 https://dx.doi.org/10.1007/s00209-005-0816-7 |
| Access Level: | acceso abierto |
| Palabra clave: | Cobordism theory K-theory Cobordisme, Teoria del Classificació AMS::55 Algebraic topology::55S Operations and obstructions Classificació AMS::55 Algebraic topology::55N Homology and cohomology theories Classificació AMS::19 K-theory::19L Topological K-theory Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia::Topologia algebraica |
| Sumario: | The elements of various algebras of stable degree zero operations in p-local K-theory can be described explicitly as certain infinite sums of Adams operations [11, 9]. Here we show how to make sense of the same expressions for MU(p) and BP, thus identifying the “Adams subalgebra” of the algebras of operations. We prove that the Adams subalgebra is the centre of the ring of degree zero operations |
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