Abstract:
We extend Cuntz and Quillen's excision theorem for algebras and pro-algebras in arbitrary ℚ-linear categories with tensor product.
Registro:
Documento: |
Artículo
|
Título: | Excision in bivariant periodic cyclic cohomology: A categorical approach |
Autor: | Cortiñas, G.; Valqui, C. |
Filiación: | Departamento de Matemática, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina IMCA, Casa de las Trece Monedas, Jr. Ancash 536, Lima 1, Peru
|
Palabras clave: | Cuntz-Quillen theory; Model category; Pro-algebra |
Año: | 2003
|
Volumen: | 30
|
Número: | 2
|
Página de inicio: | 167
|
Página de fin: | 201
|
DOI: |
http://dx.doi.org/10.1023/B:KTHE.0000018383.93721.dd |
Título revista: | K-Theory
|
Título revista abreviado: | K-Theory
|
ISSN: | 09203036
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v30_n2_p167_Cortinas |
Referencias:
- 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
- Cuntz, J., Quillen, D., Algebra extensions and nonsingularity (1995) J. Amer. Math. Soc., 8, pp. 251-289
- Cuntz, J., Quillen, D., Cyclic homology and nonsingularity (1995) J. Amer. Math. Soc., 8, pp. 373-442
- Cuntz, J., Quillen, D., Excision in bivariant periodic cyclic cohomology (1997) Invent. Math., 127, pp. 67-98
- Grossman, J.W., A homotopy theory of pro-spaces (1975) Trans. Amer. Math. Soc., 201, pp. 161-176
- Guccione, J.A., Guccione, J.J., The theorem of excision for Hochschild and cyclic homology (1996) J. Pure Appl. Algebra, 106, pp. 57-60
- Maclane, S., (1971) Categories for the Working Mathematician, , Grad. Texts in Math. 5, Springer-Verlag, Berlin
- Loday, J.L., (1998) Cyclic Homology, 2nd Edn., , Springer-Verlag, Berlin
- Meyer, R., (1999) Analytic Cyclic Cohomology, , SFB 478, preprint 61
- Puschnigg, M., (1998) Excision in Cyclic Homology Theories, , SFB 478, preprint 24
- Quillen, D., (1967) Homotopical Algebra, , Lecture Notes in Math. 43, Springer-Verlag, Berlin
- Valqui, C., Universal extension and excision for topological algebras (2001) K-Theory, 22, pp. 145-160
- Valqui, C., (2000) Weak Equivalences of Pro-complexes and Excision in Topological Cuntz-Quillen Theory, , SFB 478, preprint 88
- 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
- Weibel, C., (1994) An Introduction to Homological Algebra, , Cambridge Stud. Adv. Math. 38, Cambridge University Press, Cambridge
- Wodzicki, M., Excision in cyclic homology and in rational algebraic K-theory (1989) Ann. Math., 129, pp. 591-639
Citas:
---------- APA ----------
Cortiñas, G. & Valqui, C.
(2003)
. Excision in bivariant periodic cyclic cohomology: A categorical approach. K-Theory, 30(2), 167-201.
http://dx.doi.org/10.1023/B:KTHE.0000018383.93721.dd---------- CHICAGO ----------
Cortiñas, G., Valqui, C.
"Excision in bivariant periodic cyclic cohomology: A categorical approach"
. K-Theory 30, no. 2
(2003) : 167-201.
http://dx.doi.org/10.1023/B:KTHE.0000018383.93721.dd---------- MLA ----------
Cortiñas, G., Valqui, C.
"Excision in bivariant periodic cyclic cohomology: A categorical approach"
. K-Theory, vol. 30, no. 2, 2003, pp. 167-201.
http://dx.doi.org/10.1023/B:KTHE.0000018383.93721.dd---------- VANCOUVER ----------
Cortiñas, G., Valqui, C. Excision in bivariant periodic cyclic cohomology: A categorical approach. K-Theory. 2003;30(2):167-201.
http://dx.doi.org/10.1023/B:KTHE.0000018383.93721.dd