Takata, Doman \(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group. (English) Zbl 1445.19004 J. Geom. Phys. 150, Article ID 103591, 30 p. (2020). Reviewer: Christopher Wulff (Göttingen) MSC: 19K56 58B34 58J22 22E67 19K35 × Cite Format Result Cite Review PDF Full Text: DOI
Takata, Doman Topological Aspects of the Equivariant Index Theory of Infinite-Dimensional LT-Manifolds. arXiv:2007.08899 Preprint, arXiv:2007.08899 [math.KT] (2020). MSC: 19K56 19K35 19L47 22E67 46L52 58B34 × Cite Format Result Cite Full Text: arXiv OA License
Takata, Doman An analytic \(LT\)-equivariant index and noncommutative geometry. (English) Zbl 1429.58019 J. Noncommut. Geom. 13, No. 2, 553-586 (2019). Reviewer: Iakovos Androulidakis (Athína) MSC: 58B34 58J22 22E67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takata, Doman Noncommutative geometry and an index theory of infinite-dimensional manifolds. (English) Zbl 1409.14007 Dobrev, Vladimir (ed.), Quantum theory and symmetries with Lie theory and its applications in physics. Volume 1. QTS-X/LT-XII, Varna, Bulgaria, June 19–25, 2017. Singapore: Springer. Springer Proc. Math. Stat. 263, 377-381 (2018). MSC: 14A22 46C05 46L05 22E67 57R22 × Cite Format Result Cite Review PDF Full Text: DOI
Takata, Doman An infinite-dimensional index theorem and the Higson-Kasparov-Trout algebra. arXiv:1811.06811 Preprint, arXiv:1811.06811 [math.KT] (2018). MSC: 58B34 58J22 22E67 × Cite Format Result Cite Full Text: DOI arXiv OA License
Takata, Doman Naturality of FHT isomorphism. (English) Zbl 1358.19002 J. Gökova Geom. Topol. GGT 10, 1-41 (2016). Reviewer: Haruo Minami (Nara) MSC: 19L47 22E67 22E46 19L50 × Cite Format Result Cite Review PDF Full Text: arXiv Link