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Convolution Type \(\hbox {C}^*\)-Algebras

  • Kourosh NourouziEmail author
  • Ali Reza
Original Paper
  • 4 Downloads

Abstract

In this paper, by using the notion of convolution types we introduce symmetric and non-symmetric convolution type \(\hbox {C}^*\)-algebras. It is shown that any (exact) convolution type induces a (an exact) functor on the category of \(\hbox {C}^*\)-algebras. In particular, any group induces a convolution type and a functor on the category of \(\hbox {C}^*\)-algebras. It is also shown that discrete crossed product of \(\hbox {C}^*\)-algebras and discrete inverse semigroup \(\hbox {C}^*\)-algebras can be considered as convolution type \(\hbox {C}^*\)-algebras.

Keywords

Convolution type Convolution type \(\hbox {C}^*\)-algebra \(\hbox {C}^*\)-envelope 

Mathematics Subject Classification

46L05 46M15 

Notes

Acknowledgements

The authors would like to thank the anonymous referee for his/her constructive and valuable comments which helped improve the quality of the paper.

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Copyright information

© Iranian Mathematical Society 2019

Authors and Affiliations

  1. 1.Faculty of MathematicsK. N. Toosi University of TechnologyTehranIran

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