February 10, 2024Open Access

Index theory for H-elliptic and transversally H-elliptic operators from KK-theoretic viewpoint

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Abstract

This paper provides a comprehensive definition for transversally H-elliptic operators and explores the index theorem of H-elliptic and transversally H-elliptic operators through the lens of KK-theory, employing Kasparov's approach. Furthermore, our analysis incorporates a detailed examination of conditions, specifically delving into the Fourier transform of the nilpotent group C^-algebra.

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Minjie Tian (Sat,) studied this question.

synapsesocial.com/papers/68e79adbb6db64358770b50e https://doi.org/https://doi.org/10.48550/arxiv.2402.06970

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