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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