Excision in bivariant periodic cyclic cohomology: A categorical approach
We extend Cuntz and Quillen's excision theorem for algebras and pro-algebras in arbitrary ℚ-linear categories with tensor product.
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Springer Netherlands
2003
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04008caa a22005297a 4500 | ||
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| 003 | AR-BaUEN | ||
| 005 | 20230518203425.0 | ||
| 008 | 190411s2003 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-3543008372 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Cortiñas, G. | |
| 245 | 1 | 0 | |a Excision in bivariant periodic cyclic cohomology: A categorical approach |
| 260 | |b Springer Netherlands |c 2003 | ||
| 270 | 1 | 0 | |m Cortiñas, G.; Departamento de Matemática, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina; email: gcorti@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Cuntz, J., Excision in periodic cyclic theory for topological algebras (1997) Cyclic Homology and Noncommutative Geometry, pp. 43-53. , J. Cuntz and M. Khalkhali (eds), Amer. Math. Soc., Providence | ||
| 504 | |a Cuntz, J., Quillen, D., Algebra extensions and nonsingularity (1995) J. Amer. Math. Soc., 8, pp. 251-289 | ||
| 504 | |a Cuntz, J., Quillen, D., Cyclic homology and nonsingularity (1995) J. Amer. Math. Soc., 8, pp. 373-442 | ||
| 504 | |a Cuntz, J., Quillen, D., Excision in bivariant periodic cyclic cohomology (1997) Invent. Math., 127, pp. 67-98 | ||
| 504 | |a Grossman, J.W., A homotopy theory of pro-spaces (1975) Trans. Amer. Math. Soc., 201, pp. 161-176 | ||
| 504 | |a Guccione, J.A., Guccione, J.J., The theorem of excision for Hochschild and cyclic homology (1996) J. Pure Appl. Algebra, 106, pp. 57-60 | ||
| 504 | |a Maclane, S., (1971) Categories for the Working Mathematician, , Grad. Texts in Math. 5, Springer-Verlag, Berlin | ||
| 504 | |a Loday, J.L., (1998) Cyclic Homology, 2nd Edn., , Springer-Verlag, Berlin | ||
| 504 | |a Meyer, R., (1999) Analytic Cyclic Cohomology, , SFB 478, preprint 61 | ||
| 504 | |a Puschnigg, M., (1998) Excision in Cyclic Homology Theories, , SFB 478, preprint 24 | ||
| 504 | |a Quillen, D., (1967) Homotopical Algebra, , Lecture Notes in Math. 43, Springer-Verlag, Berlin | ||
| 504 | |a Valqui, C., Universal extension and excision for topological algebras (2001) K-Theory, 22, pp. 145-160 | ||
| 504 | |a Valqui, C., (2000) Weak Equivalences of Pro-complexes and Excision in Topological Cuntz-Quillen Theory, , SFB 478, preprint 88 | ||
| 504 | |a Waldhausen, F., Algebraic K-theory of spaces (1985) Algebraic and Geometric Topology, pp. 320-419. , A. Ranicki, N. Levitt and F. Quinn (eds), Lecture Notes in Math. 1126, Springer-Verlag, Berlin | ||
| 504 | |a Weibel, C., (1994) An Introduction to Homological Algebra, , Cambridge Stud. Adv. Math. 38, Cambridge University Press, Cambridge | ||
| 504 | |a Wodzicki, M., Excision in cyclic homology and in rational algebraic K-theory (1989) Ann. Math., 129, pp. 591-639 | ||
| 520 | 3 | |a We extend Cuntz and Quillen's excision theorem for algebras and pro-algebras in arbitrary ℚ-linear categories with tensor product. |l eng | |
| 593 | |a Departamento de Matemática, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina | ||
| 593 | |a IMCA, Casa de las Trece Monedas, Jr. Ancash 536, Lima 1, Peru | ||
| 690 | 1 | 0 | |a CUNTZ-QUILLEN THEORY |
| 690 | 1 | 0 | |a MODEL CATEGORY |
| 690 | 1 | 0 | |a PRO-ALGEBRA |
| 700 | 1 | |a Valqui, C. | |
| 773 | 0 | |d Springer Netherlands, 2003 |g v. 30 |h pp. 167-201 |k n. 2 |p K-Theory |x 09203036 |w (AR-BaUEN)CENRE-363 |t K-Theory | |
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| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_09203036_v30_n2_p167_Cortinas |y Handle |
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| 961 | |a paper_09203036_v30_n2_p167_Cortinas |b paper |c PE | ||
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| 999 | |c 65776 | ||