# Remarks on flat and differential $K$-theory

Man-Ho Ho^{[1]}

- [1] Department of Mathematics Hong Kong Baptist University Kowloon Tong, Kowloon Hong Kong

Annales mathématiques Blaise Pascal (2014)

- Volume: 21, Issue: 1, page 91-101
- ISSN: 1259-1734

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topHo, Man-Ho. "Remarks on flat and differential $K$-theory." Annales mathématiques Blaise Pascal 21.1 (2014): 91-101. <http://eudml.org/doc/275543>.

@article{Ho2014,

abstract = {In this note we prove some results in flat and differential $K$-theory. The first one is a proof of the compatibility of the differential topological index and the flat topological index by a direct computation. The second one is the explicit isomorphisms between Bunke-Schick differential $K$-theory and Freed-Lott differential $K$-theory.},

affiliation = {Department of Mathematics Hong Kong Baptist University Kowloon Tong, Kowloon Hong Kong},

author = {Ho, Man-Ho},

journal = {Annales mathématiques Blaise Pascal},

keywords = {differential $K$-theory; topological index; differential -theory; flat -theory},

language = {eng},

month = {1},

number = {1},

pages = {91-101},

publisher = {Annales mathématiques Blaise Pascal},

title = {Remarks on flat and differential $K$-theory},

url = {http://eudml.org/doc/275543},

volume = {21},

year = {2014},

}

TY - JOUR

AU - Ho, Man-Ho

TI - Remarks on flat and differential $K$-theory

JO - Annales mathématiques Blaise Pascal

DA - 2014/1//

PB - Annales mathématiques Blaise Pascal

VL - 21

IS - 1

SP - 91

EP - 101

AB - In this note we prove some results in flat and differential $K$-theory. The first one is a proof of the compatibility of the differential topological index and the flat topological index by a direct computation. The second one is the explicit isomorphisms between Bunke-Schick differential $K$-theory and Freed-Lott differential $K$-theory.

LA - eng

KW - differential $K$-theory; topological index; differential -theory; flat -theory

UR - http://eudml.org/doc/275543

ER -

## References

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- J. Lott, $\mathbb{R}/\mathbb{Z}$ index theory, Comm. Anal. Geom. 2 (1994), 279-311 Zbl0840.58044MR1312690
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