Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras

Yemon Choi

Banach Center Publications (2010)

  • Volume: 91, Issue: 1, page 105-121
  • ISSN: 0137-6934

Abstract

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We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].

How to cite

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Yemon Choi. "Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras." Banach Center Publications 91.1 (2010): 105-121. <http://eudml.org/doc/282204>.

@article{YemonChoi2010,
abstract = {We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].},
author = {Yemon Choi},
journal = {Banach Center Publications},
keywords = {biflat Banach algebras; cyclic cohomology; Connes-Tsygan exact sequence},
language = {eng},
number = {1},
pages = {105-121},
title = {Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras},
url = {http://eudml.org/doc/282204},
volume = {91},
year = {2010},
}

TY - JOUR
AU - Yemon Choi
TI - Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 105
EP - 121
AB - We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].
LA - eng
KW - biflat Banach algebras; cyclic cohomology; Connes-Tsygan exact sequence
UR - http://eudml.org/doc/282204
ER -

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