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New York Journal of Mathematics
Volume 31 (2025), 1657-1666

  

Vivek Sadhu

On the vanishing of twisted negative K-theory and homotopy invariance

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Published: November 25, 2025.
Keywords: Twisted K-groups, Homotopy invariance, Prufer domains.
Subject [2020]: 14C35, 19D35, 19E08.

Abstract
In this article, we revisit Weibel's conjecture for twisted K-theory. We also examine the vanishing of twisted negative K-groups for Prufer domains. Furthermore, we observe that the homotopy invariance of twisted K-theory holds for (finite-dimensional) Prufer domains.

Acknowledgements

Author was supported by NBHM Research Grant NBHM/MAT/2024-2025/102.


Author information

Vivek Sadhu
Department of Mathematics
Indian Institute of Science Education and Research Bhopal
Bhopal Bypass Road, Bhauri
Bhopal-462066, Madhya Pradesh, India

vsadhu@iiserb.ac.in