K-theory of hermitian symmetric spaces and root lattices

TL;DR

This paper introduces a new class of K-theoretic cycles linked to root lattices, aiding the classification of inductive limits of hermitian symmetric spaces.

Contribution

It presents a novel approach connecting K-theory cycles with root lattices for hermitian symmetric spaces, advancing classification methods.

Findings

New K-theoretic cycles associated with root lattices

Framework for classifying inductive limits of symmetric spaces

Enhanced understanding of K-theoretical invariants in geometry

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.