K-theory of hermitian symmetric spaces and root lattices

2012/10/02 by Dennis Bohle, Bohle, Dennis, Wend Werner +1
Mathematics · #17C10 #19E #19K #22E10 #32M15 #53C35 #57T15 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA) #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #math.CV #math.FA #math.KT #math.OA #msc:17C10 #msc:19E #msc:19K #msc:22E10 #msc:32M15 #msc:53C35 #msc:57T15

paper · pdf · doi:10.48550/arxiv.1210.0790

arxiv created 2012/10/02 · openalex publication_date 2012/10/02 · arxiv updated 2012/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a companion to a recent investigation of K-theoretical invariants for symmetric spaces. We introduce a new class of cycles in K-groups, which are connected to elements of an underlying root lattice. This will be needed for a K-theoretical classification of inductive limits.

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