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Found 2,108 Documents (Results 1–100)

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Wang, Jinmin; Xie, Zhizhang; Yu, Guoliang

\(\ell^1\)-higher index, \(\ell^1\)-higher rho invariant and cyclic cohomology. (English) Zbl 1509.19009

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 535-579 (2023).
MSC:  19K56 19D55
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\textit{J. Wang} et al., Proc. Symp. Pure Math. 105, 535--579 (2023; Zbl 1509.19009)
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Ponge, Raphaël

Cyclic homology and group actions. (English) Zbl 1509.19006

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 371-395 (2023).
MSC:  19D55 20J06 55N91
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\textit{R. Ponge}, Proc. Symp. Pure Math. 105, 371--395 (2023; Zbl 1509.19006)
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Meyer, Ralf; Mukherjee, Devarshi

Local cyclic homology for nonarchimedean Banach algebras. (English) Zbl 1509.19005

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 281-295 (2023).
MSC:  19D55
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\textit{R. Meyer} and \textit{D. Mukherjee}, Proc. Symp. Pure Math. 105, 281--295 (2023; Zbl 1509.19005)
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Khalkhali, Masoud; Shapiro, Ilya

Hopf cyclic cohomology and beyond. (English) Zbl 1516.19001

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 211-237 (2023).
Reviewer: Jerry M. Lodder (Las Cruces)
MSC:  19D55 16E40 16T05 18D15
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\textit{M. Khalkhali} and \textit{I. Shapiro}, Proc. Symp. Pure Math. 105, 211--237 (2023; Zbl 1516.19001)
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Hesselholt, Lars

Topological cyclic homology and the Fargues-Fontaine curve. (English) Zbl 1509.11112

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 197-210 (2023).
MSC:  11S70 19D55 14F30
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\textit{L. Hesselholt}, Proc. Symp. Pure Math. 105, 197--210 (2023; Zbl 1509.11112)
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Gepner, David

Algebraic \(K\)-theory and generalized stable homotopy theory. (English) Zbl 1511.55012

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 161-184 (2023).
MSC:  55P42 19D55 18N60 55U40
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\textit{D. Gepner}, Proc. Symp. Pure Math. 105, 161--184 (2023; Zbl 1511.55012)
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Dundas, Bjørn Ian

Applications of topological cyclic homology to algebraic \(K\)-theory. (English) Zbl 1509.19004

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 135-159 (2023).
MSC:  19D55
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\textit{B. I. Dundas}, Proc. Symp. Pure Math. 105, 135--159 (2023; Zbl 1509.19004)
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Cuntz, Joachim

The image of Bott peridocity in cyclic homology. (English) Zbl 1508.19004

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 123-134 (2023).
MSC:  19D55 19E20 19K35 58B34
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\textit{J. Cuntz}, Proc. Symp. Pure Math. 105, 123--134 (2023; Zbl 1508.19004)
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Block, Jonathan; Higson, Nigel; Sanchez, Jesus jun.

On Perrot’s index cocycles. (English) Zbl 1508.19003

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 29-62 (2023).
MSC:  19D55 19K56 58J40
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\textit{J. Block} et al., Proc. Symp. Pure Math. 105, 29--62 (2023; Zbl 1508.19003)
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Baldare, Alexandre; Benameur, Moulay; Nistor, Victor

Chern-Connes-Karoubi character isomorphisms and algebras of symbols of pseudodifferential operators. (English) Zbl 07675023

Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 1-27 (2023).
MSC:  46L80 19D55 16E40 47L80
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\textit{A. Baldare} et al., Proc. Symp. Pure Math. 105, 1--27 (2023; Zbl 07675023)
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Connes, A. (ed.); Consani, C. (ed.); Dundas, B. I. (ed.); Khalkhali, M. (ed.); Moscovici, H. (ed.)

Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. (English) Zbl 1507.19001

Proceedings of Symposia in Pure Mathematics 105. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6977-1/pbk; 978-1-4704-7263-4/ebook). x, 579 p. (2023).
MSC:  19-06 19D55 19-03 01A60 01A61 00B25
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\textit{A. Connes} (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 -- October 1, 2021. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1507.19001)
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McCandless, Jonas Bastian Vedersø

TR and its relation to algebraic \(K\)-theory. (English) Zbl 1509.19001

Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). 106 p. (2022).
MSC:  19-02 19D55
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\textit{J. B. V. McCandless}, TR and its relation to algebraic \(K\)-theory. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2022; Zbl 1509.19001)
Konovalov, A. A.

On the nilinvariance property of the semitopological K-theory of dg-categories and its applications. (English. Russian original) Zbl 1497.19001

Math. Notes 112, No. 2, 323-327 (2022); translation from Mat. Zametki 112, No. 2, 312-316 (2022).
Reviewer: Daniel Juan Pineda (Michoacán)
MSC:  19D55 19E08 19E20 19Lxx
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\textit{A. A. Konovalov}, Math. Notes 112, No. 2, 323--327 (2022; Zbl 1497.19001); translation from Mat. Zametki 112, No. 2, 312--316 (2022)
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